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Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT 1. Kata Aluan Ketua Jabatan Sains Matematik 8
2. Kata Aluan Pengerusi PSM Jabatan Sains Matematik 9
3. Jadual Simposium Projek Sarjana Muda 10 - 17
31 Mei 2016 (Selasa)
Makmal Komputer I Bilik Mesyuarat dan Persembahan Makmal Komputer III 1 Jun 2015 (Rabu) Makmal Komputer I Bilik Mesyuarat dan Persembahan Makmal Komputer III
4. ABSTRAK PELAJAR 18 - 96 Modulated Heating Wave of Porous Media of an Infinite Extend Afiqah Binti Abas & En Ibrahim Bin Jais Mathematical Model of Unsteady Boundary Layer Flow along a Symmetric Wedge in a Micropolar Fluid
Aishahtul Rabiah binti Halim & Dr. Anati binti Ali Clustering Daily Closing Stock Prices for Global Raw Commodities Armaeni bt Agus & Dr Norhaiza Ahmad Modelling and Forecasting the Malaysian Crude Palm Oil using Box-Jenkins and Time Series Regression Method
Darma Binti Abdul Mida & Prof.Madya Dr Maizah Hura bt Ahmad Prediction of Currency Exchange Rate Using Artificial Neural Network and Exponential Smoothing
Eileen Lim Yi Xin & Puan Halijah Osman Alternating Direction Implicit (AD) Method For The Elliptic Equation Emulyaty Binti Mohd Rafi & Che Rahim Che Teh Tensor Analysis Farhah Aqilah binti Abdul Aziz & Prof. Dr. Mohd Nor bin Mohamad Finite Element Method And Finite Difference Method For Solving The Second Order Linear Differential Equation Faten Nur Amira Binti Amran & Encik Che Rahim Che Teh
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
The Application of Generalized Linear Model (GLM) in Insurance Claims
Foo Weoi Ming & PM. Dr. Fadhilah Yusof Solving 0-1 Knapsack Problem Using Genetic Algorithms And Dynamic Programming
Gloria Chrisma Jeffery & Tuan Haji Ismail Bin Kamis
Analyzing Survey Data on Car Preference Factors Using Structural Equation Modeling
Ina Nur Hazirah Binti Samudin & PM. Dr. Ismail Mohamad Free Vibration Antisymmetric Angle-Ply Cylindrical Sheel Under Classical Theory Janietha Myrable Justin & PM Dr K.K Viswanathan
The MSEIR Model of Infectious Diseases using Ordinary Differential Equations Josephine Anak George Jimbun & Dr. Faridah Mustapha
Two Tumor Models With And Without Drug Infusion Izzah Afiqah Binti Harun & Dr Faridah Mustapha Mathematical Modelling of Fluid Flow under the Effect of Sclera Buckling
Khairun Ameerah bt Zulkifly & Dr. Zuhaila bt Ismail Dynamic of Blood Flow in the Microcirculation Network Lee Wei Chee & Wan Rukaida Wan Abdullah Face Recognition Using Principal Component Analysis and Eigen Faces Lim Wei Keat & PM. Dr. Robiah Adnan The Analytical Hierarchy Process (AHP): Multi-Criteria Decision Making for Selection of Academic Staff at Faculty of Science, UniversitiTeknologi Malaysia (UTM)
Martini Yahya & Dr Rashidah Ahmad
Queuing Theory & Simulation Analysis at MPJBT Mohamad Amirul Afif Mohamad Zani & Dr. Arina Bazilah Aziz He’s Homotopy Perturbation Method For Ordinary Differential Equations
Mohamad Shahiir bin Saidin &Pn Halijah bt Osman
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
Ordinary Differential Equation ofTumor Growth with Immune Response and Drug
Mohd Rashid bin Admon & PM Dr Normah bt Maan Tourism Forecasting using Generalized Exponential Smoothing Muhamad Hanif Bin Azmi & Dr. Ani Shabri The Transmission Dynamics of Measles Outbreak Muhamad Hanis Nasir & Dr. Fuaada Siam Shift Job Neighbourhood Heuristics for Single Machine Family Scheduling Problems
Muhammad Aiman Rifdi Bin Arifin & Dr Syarifah Zyurina Bt Nordin SIR Model on the Spread of Dengue Disease in the State of Selangor, Malaysia
Mohammad Ridhwan Reyaz Ahmad & Dr. Fuaada Siam Solar Radiation Forecast Using Hybrid SARIMA-ANN Model Muhammad Zillullah Mukaram & PM Dr. Fadhilah Yusof Implementation of Numeric and Exact Matrix Operation Algorithms Using C++
Nadia bt Mohd Jaszari & PM DrNor’aini Aris Optimizing Arrival Flight Delay Using Simulated Annealing Nadrah binti Ramli & PM Dr Hazimah Abdul Hamid Spanning Tree Graphs in Multi-loop Electrical Circuits Nazurah binti Ali Hassan & Dr. Fong Wan Heng Solving Prey-Predator Model Using System of Linear Ordinary Differential Equation
Noor Hazwani binti Abdul Halim & PM Dr Hazimah binti Abdul Hamid Solving Two Dimensional Acoustic Wave Equation Using Finite Difference Method
Noorehan Binti Yaacob & Tuan Haji Hamisan Bin Rahmat Applications of Minimum Spanning Tree Using Kruskal’s Algorithm Nor Atikah binti Mat Zain & Dr Fong Wan Heng
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
Characterizing the Type of River Flow in Johor Nor Hidayah binti Hasan & Dr. Norhaiza Ahmad Interest Rates on Central Bank of Malaysia Norfarahatika Binti Shukor & Dr Haliza Abdul Rahman Modelling Structure of Rainfall and Temperature using Copula Method Norhakim bin Ramli & Dr. Shariffah Suhaila Syed Jamaluddin
Statistical Analysis On The Factors That Affecting The Insurance Premium Selection
Norsholeha binti Abdullah & Dr. Haliza binti Abd. Rahman Finite Element Method in Two-Dimensional Heat Equation Nur Ain Farisha Binti Mohd & Dr Yeak Su Hoe Topological Test Space of Non Polar CEEG and Ability Test in Epilepsy Nur Alya Binti Aminuddin & Dr. Amidora Binti Idris A Non-Dimensional Analytical Solution of Laplace Equation On A Gas Flow in Grain Storage
Nur Asyiqin binti Mohd Nasarruddin & Dr Zaiton Mat Isa The Mutiplicative Degree of All NonabelianMetabelian Groups of Order 16
Nur Athirah binti Jaafar & Dr. Nor Muhainiah binti Mohd Ali Graduates Employability Using a Non-Parametric Approach Nur Azlin binti Ahmad & Dr Zarina binti Mohd Khalid SCHRODINGER EQUATION OF ELECTROMAGNETIC WAVE TO PREDICT THE SILICON NANOWIRE GROWTH
Nur Edrina Fazleen binti Mohamed & Prof Madya Dr. Norma Alias The Analytical Solution to the Laplace Equation of a Gas Flow in Stored Grain
Nur Farah Natasha Binti Ahmad Tamizi & Dr. Zaiton Mat Isa A Numerical Treatment of an Exothermic Reaction Model with Constant Heat Source in a Porous Medium
Nur Farahain Binti Mohamad & Tn Hj Hamisan Bin Rahmat Parallel Boundary Element Method for Solving 2D Poisson’s Equation Nur Farahin Binti Abd Razak & Dr. Yeak Su Hoe
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
Runge-Kutta Method NurFathiah bt Mohd Sakiam & PM Dr Munira Bt Ismail Investigation of Daily Rainfall Data to Identify Trends in Rainfall Amount and Rainfall-Induced Agricultural Events in Kedah, Malaysia
Nur Ibrahima Binti Shamsuri & En. Muhammad Fauzee Hamdan Solving Second Order Initial Value Problem (IVP) Using Picard Iteration Method and Fourth Order Runge--Kutta Method
Nur Rabiatuladawiyah binti Zulkepli & Dr.Shazirawati bt Mohd Puzi SOLVE THE INVENTORY ROUTING PROBLEM BY GENETIC ALGORITHM
Nur Suhaila Binti Adam & Dr. Nur Arina Bazilah Binti Aziz Numerical Solution of One-Dimensional Signalling Transduction in the Invadopodia Formation
Nurfarahida Azwani Bt Mohd Fazllah & Dr Mohd Ariff Bin Admon The Multiplicative Degree Of All NonabelianMetabelian Groups Of Order Less Than 24 Except 16
Nurfarhani binti Mustafa & Dr. Nor Muhainiah binti Mohd Ali Numerical Approaches in Solving Nonlinear Pendulum Nurhanisa bt Ahmad Fadzil & PM Dr Munira Bt Ismail The Probability That An Element of Metabelian Groups of Order 12 Fixes A Set and Its Generalized Conjugacy Class Graph
Nurhidayah binti Zaid & Prof. Dr. Nor Haniza Sarmin Finding Global Minimization using Tunneling Method Nurrul Wahida binti Mohd Mustafa & PM. Dr Rohanin Ahmad Linear Programming and Genetic Algorithm Approach for Personnel Assignment Modelled as Transportation Problem
Nurul Ain binti Alzafry Mohamed Alnassif & Dr. Zaitul Marlizawati binti Zainuddin
Traveling Salesman Approach for Solving Visiting Route by Using Simulated Annealing
Nurul Ain bt Norazmi & En. Wan Rohaizad bin Wan Ibarahim
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
A Method Of Calculation Of Eigenvalues Of Some Class Integral Operators
Nurul Atiqah bt Talib & Assoc Prof Dr Mukhiddin Muminov
Trend Analysis of Streamflow in Johor using The Mann-Kendall Test and Theil-Sen Estimator
Nurul Fatin bt Ab. Azid & Dr. Norazlina bt Ismail
Fourier Transform and its Application Nurul Huda bt Muhd Yusof & En Che Lokman bin Jaafar Z-Transform and Its Application Nurul Izzati binti Ghazali & En. Che Lokman bin Jaafar List Scheduling Algorithms for Solving Identical Parallel Processor in Minimizing Makespan
Nurul Izzati binti Muhammad & Dr. Syarifah Zyurina bt Nordin Statistical and Trend Analysis of Rainfall Data in Johor Nurul Syazwani Binti Mohammad & Dr. Norazlina Binti Ismail Numerical Simulation of Parametric Model of Magneto-Rheological Fluid Damper
Nurziyana binti Hairudin & Prof Dr Zainal Abdul Aziz Hankel Transform and Its Application in Solving Partial Differential Equations
Nuurul Afiqah Binti Jasni & PM. Dr. Yudariah Bt Mohammad Yusof
Modeling of The Performance of Students in SijilPelajaran Malaysia (SPM) Using Adaptive Neuro-Fuzzy Inference System ( ANFIS)
Siti Haszriena Binti Taman & Dr Khairil Anuar Bin Arshad
An Improvement Heuristic Algorithms for Distance-Constrained Capacitated Vehicle Routing Problem
Siti Noor Atiqah Binti Rasit & Dr Farhana Binti Johar Hankel Transform and Its Application in Solving Partial Differential Equations
Nuurul Afiqah Binti Jasni & PM. Dr. Yudariah Bt Mohammad Yusof Solving The Fractional Transportation Problem Using Transportation Algorithm And Fractional Linear Programming Method
Siti Nor Fazila Binti Mohamad & Dr Rashidah Binti Ahmad
Simposium PSM2015/2016
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ISI KANDUNGAN MUKA SURAT
Blood Flow in Microcirculation Network Siti Nor Rasyidah binti Hassan & Dr Wan Rukaida binti Wan Abdullah
Lotka–Volterra Equations as Complex Mapping Siti Norhidayah binti Mohd Nor & Dr. Niki Anis bin Ab Karim
Statistical Analysis on Effectiveness of 21st Century Learning at Secondary Schools in Muar Area for Mathematics Subject Using SPSS Siti Rohaida binti Kamarudin & Dr. Zarina binti Mohd Khalid Second Order Ordinary Differential Equation and Its Application in Force Vibration
Suzarina binti Ahmed Sukri & Dr. Maslan bin Osman Estimation of Ruin Probability of Heavy-Tailed and Light-Tailed Distribution for Medical Insurance
Syahirah Bt Saupi & Dr. Arifah Bahar Forecasting Monthly Gold Price by Using Fuzzy Time Series Tan Lay Huan & Prof. Dr. Zuhaimy Ismail Analysis of Blood Flow Through A Catheterized Stenosed Artery Using Mathematica
Tay Chai Jian & Prof. Dr. Norsarahaida S. Amin Maximum Clique Problem in Social Network Analysis Teoh Wei Kee & Prof. Dr. Shaharuddin Saleh Hierarchical Clustering on United Stated of America Social Society Wan Muhammad Afiq bin Wan Muhamad Fauzan & PM Dr Robiah Adnan
Vibration of Circular Membranes (Wave Equations) Wan Nur Faqihah Binti Mohd Zaki & Dr Mukheta Isa Forecasting the Exchange Rateby Using Optimized Discrete Grey Model Wong Hua Min & Dr Ani Shabri Generated Paths of Fuzzy Autocatalytic Set of Evaporation Process of a Boiler System
Zainabinti Mahamud & Prof. Dr. Tahir Ahmad Comparison between Box-Jenkins Method and Exponential Smoothing Method to Forecast Gold Prices
Zulkifli Bin Rambeli & Assoc. Prof. Dr. Ismail Mohamad
Simposium PSM2015/2016
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Kata Aluan Ketua Jabatan Sains Matematik Assalamualaikum dan salam sejahtera. Alhamdulillah dan syukur kepada Allah yang telah memberikan kurniaanNya sehingga dapat saya menyampaikan kata-kata aluan di dalam buku cenderamata Projek Sarjana Muda (PSM) Jabatan Matematik, Fakulti Sains bagi Sesi 2015/2016.
PSM merupakan salah satu aktiviti terpenting dalam jadual pengajian ijazah sarjana muda sains matematik/matematik industri di Jabatan Sains Matematik, Fakulti Sains. Secara khusus PSM bertujuan melatih pelajar tentang kaedah menjalankan penyelidikan dan pengurusan maklumat berkaitan bidang sains matematik dan aplikasinya. Latihan ini dilaksanakan dengan menggilap pelbagai kemahiran generik seperti berkomunikasi dan berhujah, penulisan akademik, pendidikan sepanjang hayat, dan lain-lain. Selain didedahkan dengan pengalaman berharga ini, pelajar juga memperoleh pengalaman tidak ternilai menjalankan penyelidikan di bawah seliaan pensyarah-pensyarah Jabatan Sains Matematik, Fakulti Sains yang hebat. Hubungan dua hala pelajar dan penyelia yang berkesan ini merupakan salah satu faktor berpengaruh bagi penghasilan sebuah PSM bermutu dan dirujuki. Saya sangat berharap aktiviti PSM ini dapat melengkapkan pelajar-pelajar untuk berani dan yakin menghadapi sama ada alam pekerjaan mahupun pengajian lanjutan di masa depan. Akhir kata saya mengucapkan tahniah kepada semua pelajar yang membentangkan projeknya pada Simposium kali ini. Setinggi-tinggi terima kasih dan sekalung penghargaan juga saya ucapkan kepada pengerusi serta ahli-ahli Jawantankuasa PSM, Jabatan Sains Matematik, Fakulti Sains yang telah berusaha dengan gigih menjalankan tugas dan tanggungjawab meningkatkan kualiti dan pengurusan PSM di Jabatan. Sekian, terima kasih. PM Dr Rohanin Ahmad Ketua Jabatan Sains Matematik Fakulti Sains.
Simposium PSM2015/2016
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Kata Aluan Pengerusi Projek Sarjana Muda Jabatan Sains Matematik Assalamualaikum dan selamat sejahtera. Alhamdulillah dan terima kasih kerana memberi peluang kepada saya untuk memberikan kata-kata aluan di dalam buku cenderamata Simposium Projek Sarjana Muda, Jabatan Sains Matematik, Fakulti Sains bagi Sesi 2015/2016.
Simposium yang telah dilaksanakan sejak Sesi 1990/91 ini merupakan kemuncak aktiviti Projek Sarjana Muda, Jabatan Sains Matematik. Di dalam simposium ini diharapkan para pelajar dapat menyampaikan segala kajian yang telah dilakukan sepanjang dua semester dengan jelas dan lancar sebagai pengalaman awal sebelum mereka memasuki pasaran kerja. Saya mengucapkan syabas dan terima kasih kepada Ahli Jawatankuasa, Staf Jabatan (akademik dan sokongan), pelajar dan semua pihak yang terlibat secara langsung atau tidak langsung dalam merancang dan melaksanakan simposium ini. Semoga segala usaha murni kita untuk membentuk generasi yang cemerlang, gemilang dan terbilang akan sentiasa diredhai Allah. Sekian, terima kasih Tn. Hj. Zakaria Dollah Pengerusi Projek Sarjana Muda Jabatan Sains Matematik Fakulti Sains Sesi 2014/2015
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JADUAL SIMPOSIUM
MAKMAL KOMPUTER I 31 MEI 2016 (SELASA)
8.30 – 8.50 pagi Pelajar : Norhakim B. Ramli
Penyelia : Dr. Shariffah Suhaila S. Jamaluddin PD : PM. Dr. Fadhilah Yusof Pengerusi : Dr. Haliza Abd Rahman
8.55 – 9.15 pagi Pelajar : Wan Muhammad Afiq B. Wan Muhamad Penyelia : PM. Dr. Robiah Adnan PD : Dr. Haliza Abd Rahman Pengerusi : PM. Dr. Fadhilah Yusof
9.20 – 9.40 pagi Pelajar : Nur Ibrahima Bt. Shamsuri Penyelia : En. Muhammad Fauzee Hamdan PD : Dr. Shariffah Suhaila S. Jamaluddin Pengerusi : Dr. Haliza Abd Rahman
9.45 – 10.05 pagi Pelajar : Nurul Syazwani Bt. Mohammad Penyelia : Dr. Norazlina Ismail PD : Dr. Shariffah Suhaila S. Jamaluddin Pengerusi : Pn. Noraslinda Mohd Ismail
REHAT 10.35 – 10.55 pagi Pelajar : Darma Bt. Abdul Mida
Penyelia : PM. Dr. Maizah Hura Ahmad PD : Pn. Noraslinda Mohd Ismail Pengerusi : Dr. Shariffah Suhaila S. Jamaluddin
11.00 – 11.20 pagi Pelajar : Martini Bt. Yahya Penyelia : Dr. Rashidah Ahmad PD : PM. Dr. Rohanin Ahmad Pengerusi : Pn. Noraslinda Mohd Ismail
11.25 – 11.45 pagi Pelajar : Nurziyana Bt. Hairudin Penyelia : Prof. Dr. Zainal Abdul Aziz PD : Dr. Anati Ali Pengerusi : Prof. Dr. Tahir Ahmad
11.50 – 12.10 tgh Pelajar : Nur Alya Bt. Aminuddin Penyelia : Dr. Amidora Idris PD : Prof. Dr. Tahir Ahmad Pengerusi : Dr. Anati Ali
REHAT 2.00 – 2.20 ptg Pelajar : Nurfarahida Azwani Bt. Mohd Fazllah
Penyelia : Dr. Mohd Ariff Admon PD : Dr. Shazirawati Mohd Puzi Pengerusi : Dr. Anati Ali
2.25 – 2.45 ptg Pelajar : Nor Hidayah Bt. Hasan Penyelia : Dr. Norhaiza Ahmad PD : En. Muhammad Fauzee Hamdan/ Dr Mohd Arif Pengerusi : Dr. Shazirawati Mohd Puzi
2.50 – 3.10 ptg Pelajar : Siti Haszriena Bt. Taman Penyelia : PM. Dr. Khairil Anuar Arshad PD : Dr. Mohd Ariff Admon Pengerusi : Dr. Shazirawati Mohd Puzi
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3.15 – 3.35 ptg Pelajar : Aishahtul Rabiah Bt. Halim Penyelia : Dr. Anati Ali PD : Dr. Mohd Ariff Admon Pengerusi : PM. Dr. Ismail Mohamad
3.40 – 4.00 ptg Pelajar : Nurfarhani Bt. Mustafa Penyelia : Dr. Nor Muhainiah Mohd Ali PD : Dr. Amidora Idris Pengerusi : Dr. Niki Anis Abd Karim
4.05 - 4.25 ptg Pelajar : Nur Athirah Bt. Jaafar Penyelia : Dr. Nor Muhainiah Mohd Ali PD : Dr. Amidora Idris Pengerusi : Dr. Niki Anis Abd Karim
MAKMAL KOMPUTER III 31 MEI 2016 (SELASA)
8.30 – 8.50 pagi Pelajar : Mohamad Shahiir B. Saidin
Penyelia : Pn. Halijah Osman PD : En. Che Lokman Jaafar Pengerusi: Dr Amidora Idris
8.55 – 9.15 pagi Pelajar : Nur Rabiatuladawiyah Bt. Zulkepli Penyelia : Dr. Shazirawati Mohd Puzi PD : En. Che Lokman Jaafar Pengerusi: Dr. Faridah Mustapha
9.20 – 9.40 pagi Pelajar : Mohammad Ridhwan B. Reyaz Ahmad Penyelia : Dr. Fuaada Mohd Siam PD : Dr. Faridah Mustapha Pengerusi : En. Che Lokman Jaafar
9.45 – 10.05 pagi Pelajar : Mohd Rashid B. Admon Penyelia : PM. Dr. Normah Maan PD : Dr. Faridah Mustapha Pengerusi : Dr. Yeak Su Hoe
REHAT 10.35 – 10.55 pagi Pelajar : Lee Wei Chee
Penyelia : Pn. Wan Rukaida Wan Abdullah PD : En. Ibrahim Jais Pengerusi : Dr Yeak Su Hoe
11.00 – 11.20 pagi Pelajar : Noor Hazwani Bt. Abdul Halim Penyelia : PM. Hazimah Abdul Hamid PD : PM. Dr. Khairil Anuar Arshad Pengerusi : En Ibrahim Jais
11.25 – 11.45 pagi Pelajar : Ina Nur Hazirah Bt. Samudin Penyelia : PM. Dr. Ismail Mohamad PD : PM. Dr. Khairil Anuar Arshad Pengerusi : En Ibrahim Jais
11.50 – 12.10 tgh Pelajar : Teoh Wei Kee Penyelia : Prof. Dr. Shaharudin Salleh PD : PM. Dr. Ali Hassan Mohd Murid Pengerusi : PM Hazimah Abd Hamid
REHAT
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2.00 – 2.20 ptg Pelajar : Nurul Izzati Bt. Ghazali Penyelia : En. Che Lokman Jaafar PD : PM. Dr. Mukheta Isa Pengerusi : PM Hazimah Abd Hamid
2.25 – 2.45 ptg Pelajar : Janietha Myrable Justin Penyelia : PM. Dr. K.K Viswanathan PD : PM. Dr. Mukheta Isa Pengerusi : PM Hazimah Abd Hamid
2.50 – 3.10 ptg Pelajar : Nur Asyiqin Bt. Mohd Nasarruddin Penyelia : Dr. Zaiton Mat Isa PD : Pn. Halijah Osman Pengerusi : PM. Dr. Mukheta Isa
3.15 – 3.35 ptg Pelajar : Siti Shahidah Bt. Mazlan Penyelia : En. Zakaria Dollah PD : Pn. Halijah Osman Pengerusi : Dr. Niki Anis Abd Karim
3.40 – 4.00 ptg Pelajar : Syahirah Bt. Saupi Penyelia : Dr. Arifah Bahar PD : PM. Dr. Ismail Mohamad Pengerusi : Pn. Halijah Osman
4.05 – 4.25 ptg Pelajar : Foo Weoi Ming Penyelia : PM. Dr. Fadhilah Yusof PD : PM. Dr. Ismail Mohamad Pengerusi : Dr Norhaiza Ahmad
BILIK MESYUARAT UTAMA 31 MEI 2016 (SELASA)
8.30 – 8.50 pagi Pelajar : Nurrul Wahida Bt. Mohd Mustafa
Penyelia : PM. Dr. Rohanin Ahmad PD : Dr. Farhana Johar Pengerusi : PM Hazimah Abd Hamid
8.55 – 9.15 pagi Pelajar : Nurul Ain Bt. Alzafry Mohamed Alnassif Penyelia : Dr. Zaitul Marlizawati Zainuddin PD : Dr. Farhana Johar Pengerusi : En. Ismail Kamis
9.20 – 9.40 pagi Pelajar : Nurul Ain Bt. Norazmi Penyelia : Wan Rohaizad Wan Ibrahim PD : En. Ismail Kamis Pengerusi : Dr. Farhana Johar
9.45 – 10.05 pagi Pelajar : Mohamad Amirul Afif B. Mohamad Zani Penyelia : Dr. Nur Arina Bazilah Aziz PD : En. Ismail Kamis Pengerusi : Dr. Nor Muhainiah
REHAT 10.35 – 10.55 pagi Pelajar : Siti Norhidayah Bt. Mohd Nor
Penyelia : Dr. Niki Anis Abd Karim PD : PM. Dr. Munira Ismail Pengerusi : Dr. Nor Muhainiah
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11.00 – 11.20 pagi Pelajar : Noorehan Bt. Yaacob Penyelia : En. Hamisan Rahmat PD : PM. Dr. Munira Ismail Pengerusi : PM. Dr. Norma Alias
11.25 – 11.45 pagi Pelajar : Nur Farahin Abd Razak Penyelia : Dr. Yeak Su Hoe PD : PM. Dr. Norma Alias Pengerusi : PM. Dr. Munira Ismail
11.50 – 12.10 tgh Pelajar : Nur Ain Farisha Penyelia : Dr. Yeak Su Hoe PD : PM. Dr. Norma Alias Pengerusi : Pn Halijah Osman
REHAT 2.00 – 2.20 ptg Pelajar : Nur Suhaila Bt. Adam
Penyelia : Dr. Nur Arina Bazilah Aziz PD : En. Wan Rohaizad Wan Ibrahim Pengerusi : Dr Niki Anis Ab Karim
2.25 – 2.45 ptg Pelajar : Muhammad Hadi B. Omar Penyelia : Dr. Shazirawati Mohd Puzi PD : En. Wan Rohaizad Wan Ibrahim Pengerusi : En. Zakaria Dollah
2.50 – 3.10 ptg Pelajar : Nur Farahain Bt. Mohamad Penyelia : En. Hamisan Rahmat PD : En. Zakaria Dollah Pengerusi : En. Wan Rohaizad Wan Ibrahim
3.15 – 3.35 ptg Pelajar : Suzarina Bt. Ahmad Sukri Penyelia : PM. Dr. Maslan Osman PD : En. Zakaria Dollah / En Hamisan Pengerusi : Dr. Zaitul Marlizawati Zainuddin
3.40 – 4.00 ptg Pelajar : Siti Noor Atiqah Bt. Rasit Penyelia : Dr. Farhana Johar PD : Dr. Zaitul Marlizawati Zainuddin Pengerusi : Dr. Fong Wan Heng
4.05 - 4.25 ptg Pelajar : Siti Nor Fazila Bt. Mohamad Penyelia : Dr. Rashidah Ahmad PD : Dr. Zaitul Marlizawati Zainuddin Pengerusi : Dr. Fong Wan Heng
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MAKMAL KOMPUTER I 1 JUN 2016 (RABU)
8.30 – 8.50 pagi Pelajar : Norsholeha Bt. Abdullah
Penyelia : Dr. Haliza Abd Rahman PD : Dr. Ani Shabri Pengerusi : Dr. Norazlina Ismail
8.55 – 9.15 pagi Pelajar : Muhammad Zillullah Mukaram Penyelia : PM. Dr. Fadhilah Yusof PD : Dr. Ani Shabri Pengerusi : Dr. Norazlina Ismail
9.20 – 9.40 pagi Pelajar : Norfarahatika Bt. Shukor Penyelia : Dr. Haliza Abd Rahman PD : Dr. Norazlina Ismail Pengerusi : Dr. Ani Shabri
9.45 – 10.05 pagi Pelajar : Nurul Fatin Bt. Ab. Azid Penyelia : Dr. Norazlina Ismail PD : Dr. Zarina Mohd Khalid Pengerusi : PM. Dr. Maizah Hura Ahmad
REHAT
10.35 – 10.55 pagi Pelajar : Eileen Lim Yi Xin Penyelia : Pn. Halijah Osman PD : PM. Dr. Maizah Hura Ahmad Pengerusi : Dr. Zarina Mohd Khalid
11.00 – 11.20 pagi Pelajar : Tan Lay Huan Penyelia : Prof. Dr. Zuhaimy Ismail PD : PM. Dr. Maizah Hura Ahmad Pengerusi : Dr. Zarina Mohd Khalid
11.25 – 11.45 pagi Pelajar : Nur Azlin Bt. Ahmad Penyelia : Dr. Zarina Mohd Khalid PD : Dr. Norhaiza Ahmad Pengerusi : Dr Amidora Idris
11.50 – 12.10 tgh Pelajar : Siti Rohaida Bt. Kamarudin Penyelia : Dr. Zarina Mohd Khalid PD : Dr. Norhaiza Ahmad Pengerusi : Dr Amidora Idris
REHAT 2.00 – 2.20 ptg Pelajar : Muhamad Hanif B. Azmi
Penyelia : Dr. Ani Shabri PD : Prof. Dr. Zuhaimy Ismail Pengerusi : PM. Dr. Robiah Adnan
2.25 – 2.45 ptg Pelajar : Wong Hua Min Penyelia : Dr. Ani Shabri PD : Prof. Dr. Zuhaimy Ismail Pengerusi : PM. Dr. Robiah Adnan
2.50 – 3.10 ptg Pelajar : Armaeni Bt. Agus Penyelia : Dr. Norhaiza Ahmad PD : PM. Dr. Robiah Adnan Pengerusi : Prof. Dr. Zuhaimy Ismail
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3.15 – 3.35 ptg Pelajar : Nuurul Afiqah Bt. Jasni Penyelia : PM. Dr. Yudariah Mohamad Yusof PD : Dr. Taufiq Khairi Ahmad Khairuddin Pengerusi : Pn Halijah Osman
MAKMAL KOMPUTER III
1 JUN 2016 (RABU)
8.30 – 8.50 pagi Pelajar : Afiqah Bt. Abas Penyelia : En. Ibrahim Jais PD : Dr. Zuhaila Ismail Pengerusi: Pn. Halijah Osman
8.55 – 9.15 pagi Pelajar : Siti Nor Rasyidah Hassan Penyelia : Pn. Wan Rukaida Wan Abdullah PD : Dr. Zuhaila Ismail Pengerusi: PM. Dr. Normah Maan
9.20 – 9.40 pagi Pelajar : Izzah Afiqah Bt. Harun Penyelia : Dr. Faridah Mustapha PD : PM. Dr. Normah Maan Pengerusi: Dr. Zuhaila Ismail
9.45 – 10.05 pagi Pelajar : Josephine Anak George Jimbun Penyelia : Dr. Faridah Mustapha PD : PM. Dr. Normah Maan Pengerusi: Dr. Taufiq Khairi Ahmad Khairuddin
REHAT 10.35 – 10.55 pagi Pelajar : Muhamad Hanis B. Mohd Nasir
Penyelia : Dr. Fuaada Mohd Siam PD : PM. Hazimah Abdul Hamid Pengerusi : Dr. Taufiq Khairi Ahmad Khairuddin
11.00 – 11.20 pagi Pelajar : Muhammad Aiman Rifdi B. Arifin Penyelia : Dr. Syarifah Zyurina Nordin PD : Dr. Fuaada Mohd Siam Pengerusi : PM. Dr. Yudariah Mohamad Yusof
11.25 – 11.45 pagi Pelajar : Nadrah Bt. Ramli Penyelia : PM. Hazimah Abdul Hamid PD : Dr. Fuaada Mohd Siam Pengerusi : PM. Dr. K.K Viswanathan
11.50 – 12.10 tgh Pelajar : Farhah Aqilah Bt. Abdul Aziz Penyelia : Prof. Dr. Mohd Nor Mohd PD : PM. Dr. K.K Viswanathan Pengerusi : Dr. Fuaada Mohd Siam
REHAT 2.00 – 2.20 ptg Pelajar : Nurul Huda Bt. Mohd Yusof
Penyelia : En. Che Lokman Jaafar PD : Prof. Dr. Mohd Nor Mohamad Pengerusi : PM. Dr. Sharidan Shafie
2.25 – 2.45 ptg Pelajar : Nadia Bt. Mohd Jaszari Penyelia : PM. Dr. Nor’aini Aris PD : PM. Dr. Shaharudin Salleh
Simposium PSM2015/2016
16
Pengerusi : PM. Dr. Sharidan Shafie 2.50 – 3.10 ptg Pelajar : Tay Chai Jian
Penyelia : Prof. Dr. Norsarahaida S Amin PD : PM. Dr. Sharidan Shafie Pengerusi : Prof. Dr. Shaharudin Salleh
3.15 – 3.35 ptg Pelajar : Wan Nur Faqihah Bt. Mohd Zaki Penyelia : PM. Dr. Mukheta Isa PD : PM. Dr. Maslan Osman Pengerusi : Pn. Wan Rukaida Wan Abdullah
3.40 – 4.00 ptg Pelajar : Nur Farah Natasha Bt. Ahmad Tamizi Penyelia : Dr. Zaiton Mat Isa PD : Pn. Wan Rukaida Wan Abdullah Pengerusi : Dr. Maslan Osman
BILIK MESYUARAT UTAMA 1 JUN 2016 (RABU)
8.30 – 8.50 pagi Pelajar : Emulyati Bt. Mohd Rafi
Penyelia : En Che Rahim Che Teh PD : En Hamisan Rahmat Pengerusi : PM. Hazimah Abdul Hamid
8.55 – 9.15 pagi Pelajar : Faten Nur Amira Bt. Amran Penyelia : En Che Rahim Che Teh PD : En. Hamisan Rahmat Pengerusi : PM. Hazimah Abdul Hamid
9.20 – 9.40 pagi Pelajar : Nur Fathiah Bt. Sakiam Penyelia : PM. Dr. Munira Ismail PD : En Che Rahim Che Teh Pengerusi : En. Hamisan Rahmat
9.45 – 10.05 pagi Pelajar : Nurhanisa Bt. Ahmad Fadzil Penyelia : PM. Dr. Munira Ismail PD : En Che Rahim Che Teh Pengerusi : Pn Halijah Osman
REHAT 10.35 – 10.55 pagi Pelajar : Gloria Chrisma Jeffery
Penyelia : En. Ismail Kamis PD : Dr. Rashidah Ahmad Pengerusi : En Che Rahim Che Teh
11.00 – 11.20 pagi Pelajar : Zulkifli B. Rambeli Penyelia : PM Dr Ismail Mohamad PD : Dr. Arifah Bahar Pengerusi : Dr Rashidah Ahmad
11.25 – 11.45 pagi Pelajar : Nor Atikah Bt. Mat Zain Penyelia : Dr. Fong Wan Heng PD : PM. Dr. Yudariah Mohamad Yusof Pengerusi : Dr Arifah Bahar
11.50 – 12.10 tgh Pelajar : Nurul Izzati B. Muhammad Penyelia : Dr. Syarifah Zyurina Nordin PD : Dr. Rashidah Ahmad Pengerusi : PM. Dr. Yudariah Mohamad Yusof
Simposium PSM2015/2016
17
REHAT 2.00 – 2.20 ptg Pelajar : Zainab Bt. Mahamud
Penyelia : Prof. Dr. Tahir Ahmad PD : PM. Dr. Mukhidin Muminov Pengerusi : Dr. Niki Anis Abd Karim
2.25 – 2.45 ptg Pelajar : Nazurah Bt. Ali Hassan Penyelia : Dr. Fong Wan Heng PD : Prof. Dr. Norhaniza Sarmin Pengerusi : PM. Dr. Mukhidin Muminov
2.50 – 3.10 ptg Pelajar : Nurul Atiqah Bt. Talib Penyelia : PM. Dr. Mukhidin Muminov PD : PM. Dr. Nor’aini Aris Pengerusi : Dr. Nor Muhainiah Mohd Ali
3.15 – 3.35 ptg Pelajar : Lim Wei Keat Penyelia : Dr Robiah Adnan PD : Dr Niki Anis Ab Karim Pengerusi : PM. Dr. Nor’aini Aris
3.40 – 4.00 ptg Pelajar : Nur Edrina Fazleen Bt. Mohamed Penyelia : PM. Dr. Norma Alias PD : Dr. Yeak Su Hoe Pengerusi : Dr Niki Anis Ab Karim
Simposium PSM2015/2016
18
Modulated Heating Wave of Porous Media of an Infinite Extend
Afiqah Binti Abas & En Ibrahim Bin Jais
Convection can be described as an equilibrium process due to
temperature variation in a media. For a horizontal fluid layer heated from the
bottom and cooled from the top, buoyancy plays as a destabilizing role. When
the temperature difference is large enough and buoyancy exceeds the
stabilization effect of viscosity, the system loses its stability and causes the
movement of fluid flow. This flow is named as Rayleigh-Benard convection.
The critical Rayleigh numbers for the onset of convection were determined and
the stability ranges of all flow patterns were assured by increasing or decreasing
the Rayleigh number. A travelling wave which took the form of
results in the motion following the travelling wave when was
investigated by Banu (2001). The minimal for guarantee a
dangerous transition. The heat transfer rates at different flow patterns were
measured by the average Nusselt number. The Finite Difference method is
applied with Nine Point Arakawa method used for the nonlinear term and thus,
infinite extend is considered. When the Rayleigh number is low, convection
happens at location but when Rayleigh number is high, the convection enters the
chaotic region.
Simposium PSM2015/2016
19
Mathematical Model of Unsteady Boundary Layer Flow along a Symmetric
Wedge in a Micropolar Fluid
Aishahtul Rabiah binti Halim & Dr. Anati binti Ali
In fact, micropolar fluid is a good model for studying many complicated fluid
motion. In this research, mathematical model of the unsteady boundary layer
flow along a symmetric wedge in a micropolar fluid is considered. The
governing boundary layer equation are first given in dimensional form along
with the boundary conditions into the non-dimensional form of equationsby
introducing the stream function and then resulting of partial differential
equations were transform to the ordinary differential equation by using a
similarity variable. The governing equations of the present study are compared
to those models of Newtonian fluid including its dimensional form, stream
function form up to its form of ordinary differential equation. The model are
discretised according to the Keller-Box method which consistof discretization
using a finite difference method, newton’s method for linearization, the block
tridiagonal matrix and block elimination method. Some results from the
previous study are shown which include the velocity, skin-friction coefficient,
the local Nusselt number and temperature profile.
Simposium PSM2015/2016
20
Clustering Daily Closing Stock Prices for Global Raw Commodities
Armaeni bt Agus & Dr Norhaiza Ahmad
Commodity stock prices is one type of financial time series data. It is highly
dimensional and unstable because of fluctuation in supply and demand. Due to
this problem, the purpose of this study is to determine whether different closing
stock prices move together in the market place. This paper explores on
identifying similar raw commodities in daily closing stock prices using
unsupervised Hierarchical Agglomerative Clustering method based on
dissimilarity matrix. However, since financial time series data typically do not
exhibit a multivariate normal distribution, the usual Euclidean distance cannot
be applied to quantify the degree of dissimilarity between commodities. Instead,
distance function which could measure the structure of dependence between
objects such as correlation distance type is more appropriate. Here, we have
compared two types of correlation distances, i.e. Pearson correlation coefficient
and Spearman’s Rank Corelation on Hierarchical Agglomerative clustering to
identify similar raw commodities that move together in market place. As a
result, we have found that both methods produce different clustering results.
However, in both clustering results, clustering closing stock prices for gold and
silver are found to always move together.
Simposium PSM2015/2016
21
Modelling and Forecasting the Malaysian Crude Palm Oil using Box-
Jenkins and Time Series Regression Method
Darma Binti Abdul Mida & Prof.Madya Dr Maizah Hura bt Ahmad
Forecasting is a study of determining the direction of future trends of
events or variables using time series data. The current study has two objectives
which is first to forecast the price and production of crude palm oil using Box-
Jenkins method and Time Series Regression. The second objective is to
compare the performances of the forecasts. The data used are price and
production of Malaysian crude palm oil.The software used in analyzing the data
are Microsoft Excel and Minitab-16.The first step in both models is to find the
pattern by plotting the data. The autocorrelation function (ACF) and partial
autocorrelation function (PACF) are explored to reveal the patterns of the data.
Two patterns are discovered in the data used in this study which are trend and
seasonal. To compare the performances of these two methods, mean absolute
percentage error (MAPE) and mean sum of error (MSE) are calculated. The
most appropriate method is the method that gives the lowest measure of forecast
error. From the error measures, it can be concluded that Box-Jenkins performed
better than Time Series Regression in forecasting the future values of the price
and production of Malaysian crude palm oil.
Simposium PSM2015/2016
22
Prediction of Currency Exchange Rate Using Artificial Neural Network
and Exponential Smoothing
Eileen Lim Yi Xin & Puan Halijah Osman
The currency exchange market is one of the most complex dynamic markets
with the characteristics of high volatility and irregularity. Prediction of currency
exchange rate is difficult yet important in order to yield maximum profit. This
research focuses on forecasting of currency exchange rate by Artificial Neural
Network (ANN) and Exponential Smoothing (ES). ANN has been proven to be
a universal approximator which able to capture any complex relationships while
ES is a classical method used in financial forecasting. A two years data from
1/4/2013 to 31/3/2015 are modelled to predict the exchange rate of 1/4/2015 to
30/4/2015 for five currencies, namely United State Dollar (USD), Great Britain
Pound (GBP), Japanese Yen (JPY), Singapore Dollar (SGD) and New Zealand
Dollar (NZD) against the Malaysian Ringgit (MYR). Both ANN and ES are
performed by using STATISTICA 10 software. The results are evaluated in
terms of Mean Absolute Error (MAE), Mean Square Error (MSE) and Mean
Absolute Percentage Error (MAPE). The comparison of forecast accuracy
shows that ANN outperforms ES since the MAE, MSE and MAPE calculated
by ANN are smaller than ES. In general, ANN and ES are proven as acceptable
models in forecasting currency exchange rate.
Simposium PSM2015/2016
23
Alternating Direction Implicit (AD) Method For The Elliptic Equation
Emulyaty Binti Mohd Rafi & Che Rahim Che Teh
Finite Difference Method for Elliptic equation had been used widely to
solve a lot physical problems. However, it turns out that analytical approach for
two and more dimension equations are more complicated than those of one
variable,so numerical approach will be used to approximate the solution. Here
we will usebetween Alternating Direction Implicit (ADI) and Gauss-Seidel
Method to find the numerical solution. The results obtain are compared with
exact solution to show that ADI method are accurate compare to the Gauss-
Seidel iteration method.
Tensor Analysis
Farhah Aqilah binti Abdul Aziz & Prof. Dr. Mohd Nor bin Mohamad
Tensor Analysis is an important tool of mathematics in the field of
science and engineering. To use it, we have to understand the basic properties
of tensor analysis. The purpose of this study is to investigate various
fundamental concept of vector via tensor analysis together with some of their
corresponding physical and geometric interpretations. The basic definitions of
tensor analysis are explained in detail throughout this research. Selected
properties and operations involved in tensor analysis has been studied in order
to solve the mathematical problems. The process of deriving and proving the
properties associated with tensor analysis has been discussed. Numerous
examples are given to grasp this topic easily and clearly.
Simposium PSM2015/2016
24
Finite Element Method And Finite Difference Method For Solving The
Second Order Linear Differential Equation
Faten Nur Amira Binti Amran & Encik Che Rahim Che Teh
The purpose of this study is to investigate the application of numerical method
on second order linear differential equation by applying Finite Difference
Method (FDM) and Finite Element Method (FEM). FEM involves the finding
of approximate solutions on boundary value problems of second order linear
differential equation. The FEM calculation is solved manually whereas the
FDM calculation is solved manually and using MATLAB. The calculated
results are compared with exact solution to show that FEM generally will
produce more accurate results compared to FDM.
Simposium PSM2015/2016
25
The Application of Generalized Linear Model (GLM) in Insurance Claims
Foo Weoi Ming & PM. Dr. Fadhilah Yusof
Count data are non-negative integers. They represent the number of
occurrences of an event within a fixed period. The insurance claims are
categorized under count data where the insurance company needs to manage
and monitor them approximately. Generalized linear models (GLM) is a method
to model insurance claims. Poisson regression, which is a part of class of
models in GLM, is widely used to analyze count data. It uses natural log as the
link function and models the expected value of response variable. The natural
log in the model ensures that the predicted values of response variable will
never be negative. The response variable in Poisson regression is assumed to
follow Poisson distribution. One requirement of the Poisson distribution is that
the mean equals the variance. And the maximum likelihood estimation (MLE)
method is used to estimate the coefficients of parameters. In real-life
application, count data often exhibits overdispersion. Overdipersion occurs
when the variance is significantly larger than the mean. When this happens, the
data is said to be overdispersed. Overdispersion can cause underestimation of
standard errors which consequently leads to wrong inference. Besides that, test
of significance result may also be overstated. Overdispersion can be handled by
using quasi-likelihood method. In addition, Chain-Ladder method is a statistical
method that use as GLM to forecast the amount of reserves in a run-off triangle
that must be established in order to cover future claims. As a result, GLM is
good for managing and monitoring the insurance claims.
Simposium PSM2015/2016
26
SOLVING 0-1 KNAPSACK PROBLEM USING
GENETIC ALGORITHMS AND DYNAMIC PROGRAMMING
Gloria Chrisma Jeffery & Tuan Haji Ismail Bin Kamis
Knapsack problem is an important branch in operational research. It concerns
about to determine the maximum sum of profits of the knapsack provided that a
number of items are given which have certain weights and capacity limit to the
knapsack. Knapsack problems arise in many domains such as cargo loading,
industrial production, budget control, financial management, project selection,
capital budgeting, menu planning, selection of journal for a library and etc. The
main objective of the study is to find the maximum sum of profits for a few set
of data of 0-1 Knapsack problems. In order to achieve the objective of the study,
Dynamic Programming (DP) and Genetic Algorithms (GAs) are used in this
study. Besides that, this study will also compare the performances of the two
methods. The result shows that it was more suitable to use DP method when the
total number of items are small since it required less effort to track back the
optimal solution. However, when dealing with large number of items, GAs
method was more convenient to be used, even though it might not necessarily
giving the best solution to the problem which in real life will cause a loss of
profit.
Simposium PSM2015/2016
27
Analyzing Survey Data on Car Preference Factors Using Structural
Equation Modeling
Ina Nur Hazirah Binti Samudin & PM. Dr. Ismail Mohamad
Structural Equation Modeling (SEM) is very popular in many disciplines such
as psychology, political science and education.SEM is a methodology for
representing, estimating and testing a network of relationship between latent and
measured variables. The growth and popularity of SEM is attributed to a large
part to the advancement of software development such as WarpPLS. The
purpose of this research is to study the relationship between car preference
factorstowards the purchase behaviour of final year UTM students using SEM.
The questionnaire was distributed via online for measuring the relationship
between the car preference factorstowards the purchase behaviour of final year
UTM students. The results of questionnaire was validated and tested for further
statistical analysis through Confirmatory Factor Analysis (CFA). Among all the
factors discussed in this research, design factor played the most significant role
in purchasing a car. There exists mediating variable where this variable causes
the indirect effects of an independent variable. In this study, the mediating
variables are cost and design where the preference is independent of
performance given the cost and design variables. This research can assist car
producers to increase their sales by focusing on those important factors.
Simposium PSM2015/2016
28
Two Tumor Models With And Without Drug Infusion
Izzah Afiqah Binti Harun & Dr Faridah Mustapha
In this study, a relevant biological through mathematical background materials
are presented followed by mathematical modelling of tumor growth with and
without drug infusion. The process of understanding the behaviour of tumor
cells ,immune cells and also normal cells in the presence and absence of drug
leads to different types of model which can be categorized as predation or
competition. The research focused on analysing the system of differential
equation used in the model in the case of tumor growth that includes the normal
cells and immune cells response. Overall, the aim of this study is to obtain and
to show the stability of the system in the presence and absence of drug towards
cells involved. The model is investigated and analysed theoretically and through
computer simulation, Maple 2015 in order to determine the stability of
equilibrium points. At the end of this study, the different between model with
and without the presence of drug are able to understand and investigated.
Simposium PSM2015/2016
29
Free Vibration Antisymmetric Angle-Ply Cylindrical Sheel Under Classical
Theory
Janietha Myrable Justin & PM Dr K.K Viswanathan
Free vibration of antisymmetric angle-ply laminated cylindrical shell is studied
using spline function approximations. The equations of motion of the shell are
derived by extending Love’s first approximation theory. Assuming the
displacement functions in a separable form and these functions are
approximated using splines. The collocation procedure is applied to obtain a
system of couple equations in terms of displacement functions. The system
becomes a generalized eigenvalue problem using boundary condition and this
problem is solved numerically to find the eigen frequency parameters and
associated eigen vectors as spline coefficients. The effect of various parameters
such as length parameter, the relative thickness of the layers, and the
circumferential wave number under different boundary conditions on the
frequencies parameter are analysed to investigate the behaviour of shell
structure.
Simposium PSM2015/2016
30
The MSEIR Model of Infectious Diseases using Ordinary Differential
Equations
Josephine Anak George Jimbun & Dr. Faridah Mustapha
This research study the applied of ordinary differential equations on the
mathematical model of infectious diseases. Many models for the spread of
infectious diseases in population have been analyzed mathematically and
applied to specific diseases. This research specifically analyzed generally the
model of infectious disease namely MSEIR. MSEIR model build of five (5)
compartments. The five (5) compartments are immune class (M), susceptible
class (S) , exposed class (E), infectious class (I), and lastly recover class (R).
This model differs since it considers the size of the population is not constant.
The equilibrium points of the model are obtained and it shows that there exist
for both disease-free and endemic. The method used to analyze the stability of
the equilibrium point is Routh-Hurwitz Criteria with k = 4. The disease-free
equilibrium is stable when basic reproduction number R0 < 1 and the endemic
equilibrium is stable when R0
.
> 1.
Simposium PSM2015/2016
31
Mathematical Modelling of Fluid Flow under the Effect of Sclera Buckling
Khairun Ameerah bt Zulkifly & Dr. Zuhaila bt Ismail
Sclera Buckling (SB) is one of the approach to treat Rhegmatogeneous Retinal
Detachment (RRD). RRD occurs due to the pressure of the accumulated fluid
that flow under the detached retina and causes further detachment which could
lead to loss of vision if it is not treated. SB is a silicone buckle that is sutured
around the eye ball to prevent fluid leakage and will cause indentation to the eye
ball. A paradigm mathematical model is developed to understand the behaviour
of the fluid under the effect of SB. The Navier-Stokes equations is
approximated by the lubrication theory to obtained the governing equations.
Using analytical method, the velocity profiles, pressure and streamlines of the
fluid flow is analyzed using MAPLE 15. Numerical results from COMSOL
Multyphysics are generated as a comparison to the results obtained using
MAPLE 15. The results have shown that it is possible to predict the behaviour
of the liquefied vitreous humour under the effect of SB.
Simposium PSM2015/2016
32
Dynamic of Blood Flow in the Microcirculation Network
Lee Wei Chee & Wan Rukaida Wan Abdullah
The flow of blood in microcirculation network is one of the problems in
mathematical biology that requires the knowledge of fluid flow.It is believed
that the Fahraeus effect, Fahraeus-Lindqvist effect and phase separation have to
be taken into account when developing the model simulation. This study was
aimed to identify the mathematical model of the blood flow in microcirculation
network. Coupled advection-diffusion equations are solved using finite
difference method to simulate hematocritflow in the symmetric and asymmetric
arcade network. Findings showed that the diffusive term takes an important role
in the flow of microcirculation network. In addition, the mathematical study
showed that the flow in the arcade network is stable and steady state is
achieved. In summing up, recommendation and conclusion based on the data
analyzed were also given in this study.
Simposium PSM2015/2016
33
Face Recognition Using Principal Component Analysis and Eigen Faces
Lim Wei Keat & PM. Dr. Robiah Adnan
Computers that recognize faces could be applied to a wide variety of problems,
including criminal identification security system, image and film processing,
and human-computer interaction. However, a computational model of face
recognition is quite tedious to be developed because faces are complex,
multidimensional, and with ranging meaningful visual stimuli. Therefore, this
paper mainly addresses the building of face recognition system by using
Principal Component Analysis (PCA). PCA is a statistical approach used for
reducing the number of variables in face recognition. In general, this algorithm
is a technique for simplifying a dataset, by reducing multidimensional datasets
to lower dimensions for analysis. Data used in this study are JPEG image with
image resolution of 180 by 200 pixels of 10 males. The colored face images are
converted to gray scale images as gray scale images are easier for applying
computational technique in image processing. In PCA, every image in the
training set is represented as a linear combination of weighted eigenvectors
called Eigen Faces. These eigenvectors are obtained from covariance matrix of
a training image set. The weights are obtained after selecting a set of most
relevant Eigen Faces. Recognition is performed by projecting a test image onto
subspace spanned by the Eigen Faces and then classification is done by
measuring the minimum Euclidean distance and Mahalanobis distance. The
results show that theMahalanobis distance performed better than the Euclidean
distance in identifying or recognizing the correct image. A high-level language
MATLAB will be used to implement the algorithms.
Simposium PSM2015/2016
34
The Analytical Hierarchy Process (AHP):
Multi-Criteria Decision Making for Selection of Academic Staff at
Faculty of Science, UniversitiTeknologi Malaysia (UTM)
Martini Yahya & Dr Rashidah Ahmad
Evaluating candidates’ suitability for a selection of academic staff is an
important tool for a university to select the mostsuitable candidates for required
posts. As there are increasing improvements in the field of education,
universities around the world demand high quality and professional academic
staffs. The present paper examines Multiple Criteria Decision Making (MCDM)
method which is Analytic Hierarchy Process (AHP) for selecting the most
suitable academic staff at the Faculty of Science, UniversitiTeknologiMalysia,
UTM. AHP method helps permit pair-wise comparison judgments in expressing
the relative priority for criteria and alternatives that is translated from qualitative
to quantitative data by considering the criteria that influence decision made.
This study has applied five criteria and fifteen sub-criteria for selecting the best
one amongst five candidates for the academic staff position in the Faculty of
Science, UTM. The selection criteria of Academic, General Attitude,
Interpersonal Skill, Experience, and Extracurricular Activities that used in this
study are determined based on some literature reviews and knowledge
acquisition by interviewing Assistant Registrar and Head of Department from
faculty. AHP method managed to select the best academic staff since possesses
the first ranked of the generated candidate profile. Expert Choice 11.0 and
Microsoft Excel 2007 are used to assist in accomplishing the calculation
involved.
Simposium PSM2015/2016
35
Queuing Theory & Simulation Analysis at MPJBT
Mohamad Amirul Afif Mohamad Zani & Dr. Arina Bazilah Aziz
Queuing theory is a study which investigate the effectiveness of a
queuing system in a certain place. Majlis Perbandaran Johor Bahru Tengah
(MPJBT) is one of government sector which in charge of managing in Johor
Bahru district. MPJBT also providing service counter such as multi-payment
and multi-application. Hence, this customer service facility is encountering
queue problem due to overcrowd and cause dissatisfaction of customer.
Therefore, the main purpose of this study is to investigate the queuing model at
MPJBT’s Customer Server focussing on the service rate. Two months data
provided has been analysed using Easyfit software in order to fit the distribution
and to find the value of arrival rate and service rate. Moreover, the simulation
model has been built to show the process flow and resulting performance
measures by using Simul8 software. By the result, it shown that current system
in the waiting room was not good performances. Then, an experiment was
conducted in order to investigate the effect of changing the number of service
counter. The result of the experiment indicate that the change of the number of
service counter does or not improve the efficiency and the customer satisfaction.
Simposium PSM2015/2016
36
He’s Homotopy Perturbation Method For Ordinary Differential Equations
Mohamad Shahiir bin Saidin &Pn Halijah bt Osman
This study adopts the He’s Homotopy Perturbation Method (HPM) to solve
linear and nonlinear ordinary differential equations. HPM is an approximate
analytical method that usually used to solve nonlinear problems. In this study,
we applied this method to shock damper dynamics problem involving linear and
nonlinear equations. The time response of the solution obtained by a few
iterations is presented for nonlinear problem and the current results are then
compared with Runge-Kutta method in order to verify the accuracy of the
method. It is shown that there is excellent agreement between the two sets of
results. This finding confirms that the proposed He’s Homotopy Perturbation
Method is a powerful and efficient tool for solving linear and nonlinear
problems.
Simposium PSM2015/2016
37
Ordinary Differential Equation ofTumor Growth with Immune Response
and Drug
Mohd Rashid bin Admon & PM Dr Normah bt Maan
Tumor growth problem can be described by modelling the situation using
differential equations. This work presents ordinary differential system of tumor
growth with immune response and cycle phase specific drug. Three different
cases which are drug free systems in the absence of immune response, drug free
systems with the presence of immune response and drug system with immune
response are considered. Stability analysis for each cases is discussed and
numerical solution for certain chosen parameters in stability region is presented.
For drug free system in the absence of immune response, the stability map
produced two regions of stability which is tumor decay and tumor growth. In
the presence of immune response, stability map shows that the region for tumor
growth is reduced. These results are also the same when considering the drug in
the system but the population of tumor is decreased. Combining the immune
response and cycle phase specific drugs to the model provides a better way to
kill the tumor cells.
Simposium PSM2015/2016
38
Tourism Forecasting using Generalized Exponential Smoothing
Muhamad Hanif Bin Azmi & Dr. Ani Shabri
Forecasting is about predicting the future as accurately as possible, given
all of the information available, including historical data and knowledge of any
future events that might impact the forecasts. In this research, forecasting was
performed on tourism data series by using Generalized Exponential Smoothing
(GES). This forecast evaluated on monthly data series of the number of tourist
arrivals in Malaysia and Indonesia from year 1999 to year 2013. Monthly data
from year 1999 to year 2012 were used to develop the GES model while the
remaining monthly data in year 2013 were used to evaluate the performance of
the forecasting values. Our discussion about different time series models is
supported by giving experimental forecast results performed on real time series
datasets of tourist arrivals in Malaysia and Indonesia. Then, to evaluate forecast
accuracy as well as to compare among different models fitted, we have
measures the performances of Mean Absolute Percentage Error (MAPE) and
Root Mean Square Error (RMSE). Furthermore, we present the obtained time
series plot which graphically depicts the closeness between the original and
forecasted observations. To manage such a great deal of data observed, this
research was facilitated by used of Microsoft Office Excel 2010.
Simposium PSM2015/2016
39
The Transmission Dynamics of Measles Outbreak
Muhamad Hanis Nasir & Dr. Fuaada Siam
The purpose of this study is to study the transmission dynamics of measles
outbreak. Measles is one of the infectious disease that can easily spread through
the population. A compartmental epidemiological model had been employed in
this study to illustratethe dynamics of measles disease through the population.
In this model, the population had been divided into four group of individuals
(susceptible (S), exposed (E), infected (I) and recovered (R)). Exposed class is a
latent period when someone had been incontact with infected person but not yet
infected. In this model, some of exposed individuals will go to measles therapy
and treatment. Automatically, they will become recovered person. The model is
studied using system of Ordinary Differential Equations (ODEs). In order to
check the stability of the model, Routh-Hurwitz Criterion method had been
employed in this study. The equilibrium points of this model are divided into
two, disease-free equilibrium point (DFEP) and endemic equilibrium point
(EEP). Both equilibrium points are stable but the points depend on the basic
reproduction number, R0. R0is a threshold value that determine either the
disease extinct or spread out in the population. Calculation of R0 also had been
given in this study. The final work of the study is providing the numerical
simulation of the measles outbreak. The parameters used are to predict the
disease outbreak in a small population (N =1000). The parameter of percentage
of exposed individuals go to measles therapy had been varied in the numerical
simulation in order to investigate the impact to the measles outbreak. The results
show a good prediction when higher percentage go to measles therapy, the
number of recovered individuals increases faster within a few years.
Simposium PSM2015/2016
40
SHIFT JOB NEIGHBOURHOOD HEURISTICS FOR SINGLE
MACHINE FAMILY SCHEDULING PROBLEMS
Muhammad Aiman Rifdi Bin Arifin & Dr Syarifah Zyurina Bt Nordin
In this study, we consider a single machine scheduling problem in
minimizing the maximum lateness Lmax of N jobs in the presence of sequence
independent family setup time ,Sf .The problem is to schedule the arrival job in
the system with setup time and the job will divided into families .Our objective
is to minimize the maximum of lateness,Lmax of N jobs .The setup time is
required at time zero when family condition is same and a new batch of family
is obtained .We also apply EDD rule in the heuristics method to get maximum
lateness and improve this rule by using shift job forward and backward method
.Every job within family each family will be arranged according to the due date
of its job. We propose two neighborhood, local search method forward and
backward algorithm .Furthermore, we compare the neighbourhood heuristics
solutions obtained with lower bound and discuss whether the backward or
forward shift will improved the solution quality. We perform a computational
for both algorithm and compare the results .From the comparison, backward
shift algorithm is better compared to the forward shift algorithm in minimizing
the maximum lateness .
Simposium PSM2015/2016
41
SIR Model on the Spread of Dengue Disease in the State of Selangor,
Malaysia
Mohammad Ridhwan Reyaz Ahmad & Dr. Fuaada Siam
Dengue disease poses a serious threat for tropical places such as the state
of Selangor, Malaysia. This study will simulate a model based on the SIR
(Susceptible, Infected, Recovered) model on the spread of the dengue disease.
In this study, it is assumed that the population of the vector (mosquito) is
constant and although there are four types of dengue viruses, it is also assumed
that a human can only get infected by one type of dengue virus. Using the
parameters values provided in the literature a simulation of the model were
carried out using MATLAB and the basic reproduction number were also
obtained. The basic reproduction number obtained was R0>1, meaning that the
disease in the state of Selangor will not die out in the future. The simulation was
carried out with various initial susceptible human population, (Sh) and infected
human population, (Ih). It is found that the larger the susceptible human
population, the faster the disease will spread, and the larger the infected human
population, the more the maximum value of infected human population. A
simulation with various initial number of infected vector was also provided, it is
found that the larger the initial number of infected vector the faster the
maximum value of infected human is reached. Through this study, it is shown
that the case of dengue disease in the state of Selangor, Malaysia is not severe
and not worrisome. Dengue disease will not be an epidemic for the state of
Selangor in the near future.
Simposium PSM2015/2016
42
Solar Radiation Forecast Using Hybrid SARIMA-ANN Model
Muhammad Zillullah Mukaram & PM Dr. Fadhilah Yusof
By having an accurate model of solar radiation we can understand the patern
and characteristic of solar radiation data. Solar radiation forecasting is
essentialin maximizing the performance of a device that may convert solar
radiation into electricity.Hence, a hybrid model of Artificial Neural Networks
(ANN) and Seasonal Auto-regressive Integrated Moving Average (SARIMA) is
proposed to forecast solar radiation data from 2 stations in Johor Malaysia. The
solar radiation data is first used to model the SARIMA model. The SARIMA
model is chosen based from the lowest Akaike information criterion (AIC). The
residual of the fitted value of the SARIMA model is then computed. The
residual is then used to model the ANN model. The forecasting performance of
this model is then compared to 2 other models, i.e., the SARIMA model and the
ANN model. Mean square error (MSE) and mean absolute percentage error
(MAPE) is used in comparing the 3 models. Among the 3 methods the hybrid
model has the lowest MAPE and MSE in both stations.
Simposium PSM2015/2016
43
Implementation of Numeric and Exact Matrix Operation Algorithms Using C++
Nadia bt Mohd Jaszari & PM DrNor’aini Aris
In this work, the numerical algorithms for performing real matrix
operations are implemented with the application of the modular programming
technique. The algorithms constructed are then modified to perform algebraic
operations in the integer modulo domains. Further, themodified algorithms are
applied for computing the determinant and the inverses of matrices in the
integer modulo domain. In particular, computations in the modular integer
domains are applied to solving the Hilbert matrix, using the exact computation
approach, which overcomes the ill-conditioning property of the matrix. The
tedious computations are performed by constructing the algorithms using C++
computer programming language. The results revealed that the modular
algorithm illuminated by the C++ programming, assisted effectively in the
computation of numeric and exact matrix operation algorithms.
Simposium PSM2015/2016
44
Optimizing Arrival Flight Delay Using Simulated Annealing
Nadrah binti Ramli & PM Dr Hazimah Abdul Hamid
This research will highlight on the topic of optimizing the arrival flight
delay to reduce serious air traffic delay by using Simulated Annealing.
Simulated annealing is a heuristic method, which means a procedure that is
likely to find a very good feasible solution, but not certainly an optimal solution,
for the specific problem being considered.The procedure often is a completely
developed or established iterative algorithm, where each iteration requires
conducting a search for a new solution that might be better than the best
solution found previously. When the algorithm is bring to an end after a
reasonable time, the solution it provides is the best one that was found during
any iteration. Probability of Boltzmann Distribution and cooling schedule will
be used to get the optimal solution of the arrival flight delay. The result for
optimization arrival flight delay will be calculated by using Microsoft Excel.
Simposium PSM2015/2016
45
Spanning Tree Graphs in Multi-loop Electrical Circuits
Nazurah binti Ali Hassan& Dr. Fong Wan Heng
Spanning tree, which is commonly used in graph theory,can be used to
solve complex problems in electrical circuits.In electrical circuits, combination
of series and parallel type of electrical circuits form a multi-loop electrical
circuit network. In this research, branch voltages and currents in multi-loop
electrical circuit problems are solved using loop method and cut-set method
giventhe values of resistances in the circuit. The electrical circuits are first
transformed into their respective connected graphs, followed by forming
subgraphs of a larger graph which are the spanning tree graphs. Then, voltage
and current equations that satisfy both the Kirchhoff’s Lawsareobtained using
loop and cut-set methods based on the spanning tree graph.It is also possible
that all the variables of the elements in the electrical circuit are not given. This
type of problem can be analysed using the network topology approach.
Thisapproach also uses spanning tree graph, loop and cut-set methods to analyse
the branch voltages and currents of electrical circuitswith unknown circuit
variables by deducing some assumptions. Thus, spanning tree graph provides a
base and plays an important role insolving the branch voltage and current values
by implementing the methods discussed in this research.
Simposium PSM2015/2016
46
Solving Prey-Predator Model Using System of Linear Ordinary
Differential Equation
Noor Hazwani binti Abdul Halim & PM Dr Hazimah binti Abdul Hamid
The main concern of all species in any ecosystem or natural environment is
rooted in the battle for survival. This constant battle for survival is most
highlighted in the two main modes of species interaction such as categorized as
predation or competition. This research focused on applying biological
mathematics to analysing predation relationships, especially the relationship
between the Canadian Lynx and the Snowshoe Hare. This predation relationship
is quite special, because these species interact in a relatively isolated manner.
This means their populations varied in a regular cycle due to lack of significant
external variables on the relationship. These population variations can be solved
mathematically using systems of linear ordinary differential equations, built of
course upon several minimizing assumptions in order to exclude huge variables.
This mathematical model, the Lotka-Volterra, can then be analysed analytically
or using computer simulation, which is MATLABto determine period lengths,
phase portraits, critical points, and other practical information to the reality of
the relationship. Lastly, the results will show extinction prevention specialists
the years and seasons where extinction is naturally possible, preparing them
ahead of time to do intense tagging and developing natural habitats as safety
precautions.
Simposium PSM2015/2016
47
Solving Two Dimensional Acoustic Wave Equation Using Finite Difference
Method
Noorehan Binti Yaacob & Tuan Haji Hamisan Bin Rahmat
This research was conducted to solve the analytical and numerical
solution of two dimensional acoustic wave equations. The method of Separation
of Variables and Finite Difference Method were chosen to solve two
dimensional acoustic wave equations. The algorithm for each method has been
developed and the solution of the problem is simplified. In calculating the
result, the Matlab programming and the software of Microsoft Excel were used.
Exact solution is also shown as standard reference in comparing the results of
these solutions.
Simposium PSM2015/2016
48
Applications of Minimum Spanning Tree Using Kruskal’s Algorithm
Nor Atikah binti Mat Zain & Dr Fong Wan Heng
Graph theory is the study of graphs that concerns with the relationships
among the edges and vertices, in the domain of mathematics and computer
science.The minimum spanning tree problem is one of the oldest graph
problems in the theoretical computer science. In the 1920s, the minimum
spanning tree was invented which solved the problem during the electrification
of Moravia. This graph theory problem and its various applications have
inspired many other researchers to look for alternative ways of finding a
spanning tree of minimum weight in a weighted, connected graph. The main
aimof this research is to find the minimum total weightfor the graph of a
network that would connect all the nodesusing Kruskal’s
algorithm.Here,Kruskal’s algorithm is used tofind an edge of the least possible
weight that connect any two nodes in the graph. In this research, the minimum
weight between the nodes in a connected graph is determined by using
Kruskal’s algorithm. This study presents some applications of minimum
spanning tree on minimum connector problems which are the delivery service
from UTM to four malls and the travel planning using airlines. Hence, the
minimum cost and time of delivery service and the minimum distance for travel
planning are obtained using Kruskal’s algorithm.
Simposium PSM2015/2016
49
Characterizing the Type of River Flow in Johor
Nor Hidayah binti Hasan & Dr. Norhaiza Ahmad
Understanding the type of river flow is important for strategic planning
in water resource management. This study focuses on characterizing the flow of
river discharge of eight rivers in the State of Johor for a period of 45 years using
the Flow Duration Curve (FDC) based on N-equal class interval approach. FDC
measures the exceedence flow probability which measures the percentage of
time that the river flow equal or exceed a certain discharge interval. This curve
is dependent on complete data observations (i.e. positive entries) and
appropriate number of class intervals to be constructed. However, the river
discharge database of these eight rivers consist of about 11% negative entries. In
addition, the frequency of occurrence in each river are different and may affect
its exceedence probability. In this study, a subset of complete data are chosen by
imputing selected negative entries using the average of 7-day nearest neighbour
method to avoid insufficient data for analysis. We have also compared different
selection of class interval at 20, 30 and 40 partitions to construct the FDC in
order to estimate the excedence probability of flow discharge at each river. The
results show that all eight rivers in Johor can be characterized as low-flow since
the frequency of occurrence is highest at the lowest interval. Due to the different
coefficient of variation of discharge level at each river, the percentage of time
that the river flow equal or exceed the discharge interval is different and is
dependent on the number of class interval. For rivers with high coefficient
variation in discharge, the percentage of time that river flow equal or exceed the
lowest interval is generally high. For instant, Sg. Lenik shows 14.3-82.9% based
on the lowest discharge interval based on 20- 40 class interval. For rivers with
low coefficient variation such as Sg. Lenggor, the percentage of time that river
flow equal or exceed is generally low at 0.88-2.69% based on 20-40 class
interval. In addition, Sg. Johor shows low flow at about 65% at the lowest class
Simposium PSM2015/2016
50
interval of 0-17.94 m3/s (at 40 class interval). In the interest of water supply,
this river would be able to supply to its neighbouring Singapore since the flow
required to supply is only 5 m3
/s.
Interest Rates on Central Bank of Malaysia
Norfarahatika Binti Shukor & Dr Haliza Abdul Rahman
The aim of this research is to develop a methodology to find the best estimator
for the selective model of Stochastic Differential Equation (SDE) Model. The
model contains parameters which alter its behavior. Vasicek (1977) is one of the
recognized SDE Model in mathematic finance, which is useful in modeling
short-term interest rates. Two methods have been utilized for Vasicek model
such as Ordinary Least Square (OLS) and Maximum Likelihood Estimation
(MLE). The first method is the ordinary least squares estimation procedure. The
ordinary least squares (OLS) estimation procedure was developed from
regression analysis. Regression analysis is probably the most common statistical
method in statistical data analysis and the ordinary least squares the most
common used estimation procedure in statistics. Next, the idea of maximum
likelihood estimator to determine the parameters that maximize the probability
or likelihood of the sample data has been the one of the most widely used
methods. The data sample consists of Conventional Interbank Rates and Islamic
Interbank Rates for the period from 1 January 2014 to 7 June 2015 collected
from the Central Bank of Malaysia (BNM). This assessment is done by using
Microsoft Excel. The parameters obtained from both methods will then use to
calculate the predicted data to find the error. As a result of the performance of
the two methods, it is found that maximum likelihood estimator generate the
best parameter estimates than least square regression due to the smallest Root
Mean Square Error (RMSE) value.
Simposium PSM2015/2016
51
Modelling Structure of Rainfall and Temperature using Copula Method
Norhakim bin Ramli & Dr. Shariffah Suhaila Syed Jamaluddin
Copulas is a function that joins or couples multivariate distribution
functions to their one dimensional marginal distribution functions. It enable us
to extract the dependence structure from the joint distribution function of a set
of random variables and at the same time to separate the dependence structure
from the univariate marginal behavior.In this case, the dependency of two
distribution have to be considered and one way to show them is using copula
method. Three type of copula model which are Normal, Student-t and Clayton
copula are being focused on. These three copula will be compared to find the
best-fitted copula. Two sets of data which are the rainfall and temperature
(1980-2013) from Subang Station are used to show the dependency between
these two variables. For each month, the rainfall data then will be observed on
how it was distributed as univariate distribution (gamma, Weibull or
lognormal). As a result, it shows that rainfall was distributed as univariate
Weibull distribution for most of the month. For the temperature data, it is set to
follow the univariate uniform distribution. The results obtained from marginal
distribution for rainfall and temperature will be used to find the three copula
function and their parameters. The best-fitted copula will be chosen by the
minimum value of obtained. In this case study, -software was being used
to find all the parameters involved.
Simposium PSM2015/2016
52
Statistical Analysis On The Factors That Affecting The Insurance Premium
Selection
Norsholeha binti Abdullah & Dr. Haliza binti Abd. Rahman
The purpose of this study is to perform statistical analysis on the factors relating
to insurance premium selection. Nowadays, the awareness of the public has
increased in the importance of having insurance policy. Important factors
relating to insurance premium selection are age, gender, smoking status,
occupation classes, marital status, etc. In this study, four methods are used
which are chi-squared test, hypothesis testing, one-way analysis of variance
(ANOVA), and multiple linear regression. The data selected are from 2014 and
2015 consisting of 250 policy holder from Prudential Assurance Malaysia
Berhad. In regression, insurance premium is the dependent variable and the
independent variables consist of gender, age, occupation classes and smoking
class. In independent test, each of the factors shows that the chisquared test
between the premium selections has significant effects. This indicate that all the
factors affect the insurance premium selections. For the one-way analysis of
variance (ANOVA) there are significant different in insurance premium
selection for each age categories and also occupation classes. Next, the
hypothesis testing is performed for insurance premium selection based on
gender and smoking status. The result shows there’s a significance difference in
insurance premium selection according categories and occupation classes. In
regression analysis, all the factors such as gender, age and occupation class are
significant except smoking status. The value adjusted R squared is 0.145
indicates that only 41.5% of the factors that contribute in the insurance premium
selection.
Simposium PSM2015/2016
53
Finite Element Method in Two-Dimensional Heat Equation
Nur Ain Farisha Binti Mohd & Dr Yeak Su Hoe
This research is to study the problem of two-dimensional regular
geometry heat transfer equation by applying numerical method which is Finite
Element Method (FEM). FEM is widely known in handling complex problems
and geometries as this method is efficient in solving line integral on the
boundary of the problem. This method is an approximation to its solution with
high accuracy and produce stable solutions. The FEM’s calculation is coded in
MATLAB which is corresponding for converting the weak form into linear
system. The outcome solution from FEM are compared with another numerical
method which is Finite Difference Method (FDM) in order to study their
accuracy. FDM’s problems is suitable for regular geometry with less
complexity. The obvious difference between these methods lies on their error
function gained from comparison with exact solution. In generally, FEM’s
solution is more accurate compared to FDM.
Simposium PSM2015/2016
54
Topological Test Space of Non Polar CEEG
and Ability Test in Epilepsy
Nur Alya Binti Aminuddin & Dr. Amidora Binti Idris
This study is about mathematical foundation of Topological Test Space of Non
Polar CEEG (NPCEEG) and Ability Test in Epilepsy (ATIE). NPCEEG was
successfully developed for evaluating, revealing and display brain electrical
activity distributed over the scalp for epileptic patients. Mathematical
presentation and visual interpretation of the EEG signal during seizure is
presented in this study. On the other hand, Ability Test in Epilepsy (ATIE) is a
psychometric test to identify the epilepsy patients’ types of intellectual ability
based on the Howard Gardener’s eight intelligences. These two distinct models
can be placed in a common platform namely Topological Test Space. To
establish these integrated models, mathematical foundation and related theorems
of this Topological Test Space were investigated and discussed. Furthermore,
relationship between seizure patterns (from NPCEEG) and mental abilities (from
ATIE) of epileptic patients were successfully identified. From these two
models, there is a possibility that the active part of the brain during epileptic
seizures occurred in the same part of the brain obtained from psychometric test.
Simposium PSM2015/2016
55
A NON-DIMENSIONAL ANALYTICAL SOLUTION OF LAPLACE
EQUATION ON A GAS FLOW IN GRAIN STORAGE
NurAsyiqin binti Mohd Nasarruddin & Dr Zaiton Mat Isa
In grain industry, pests or mold could cause contamination and reduce the grain
quality. Therefore, for grain protection, phosphine gas has been introduced into
the grain storage to eliminate insect and pests. This thesis investigates the
behavior of the gas flow in an open cylindrical storage during a process known
as grain fumigation. The flow of the phosphine gas was modeled as a gas flow
in porous medium that satisfy Darcy's Law which later contribute to the
development of Laplace Equation. The non-dimensional analytic solutions
developed from Laplace equation are derived for pressure and velocity. It was
found that the advection of the gas is low at the upper grain storage area where
the pressure value is almost the same as atmospheric pressure align with low
velocity flow. In particular, the dispersion of gas is high at the inlet and
becomes lower as the vertical line (height) and horizontal line (radius) of the
storage increase. For instance, the growth of pests and mold are more likely to
occur at the area that have less or no fumigant dispersion.
Simposium PSM2015/2016
56
The Mutiplicative Degree of All NonabelianMetabelian Groups of Order 16
Nur Athirah binti Jaafar & Dr. Nor Muhainiah binti Mohd Ali
The commutativity degree of a finite group G is the probability that a pair of
elements, chosen randomly of G commute. The concept of commutativity
degree has been extended to the relative commutativity degree of a subgroup H
of G which is defined as the probability that a random element of a subgroup H,
commutes with another random element of a group G. In this research, further
extension of relative commutativity degree which is the multiplicative degree of
a group G where it is defined as the probability that the product of a pair of
elements chosen randomly from a group G, is in H, is used. This research
focuses on cyclic subgroups of nonabelianmetabelian groups of order 16. Thus,
the objective of this research is to determine the multiplicative degree of
nonabelianmetabelian groups of order 16.
Simposium PSM2015/2016
57
Graduates Employability Using a Non-Parametric Approach
Nur Azlin binti Ahmad & Dr Zarina binti Mohd Khalid
Graduates employability is an important indicator of academic quality at
tertiary level. One way to measure the graduate’s employability is by observing
the length of time graduates get their first employment after their study ends.
The observed time can be influenced by many factors. In this study, the
observed time or the time-to-employment are being analyzed using a non-
parametric Kaplan Meier approach. Three factor are being considered in this
study, which included courses, grade and gender. A sample of 271 Faculty of
Science graduates who graduated on October 2015 are being used in this study.
Result indicated that only grade has significantly contributed to different
employment experience amongst Faculty of Science fresh graduates in 2015.
This implies that different grades will give different effects on the time taken for
graduate’s employability. Graduates who have achieved a First Class tend to be
employed faster than their peers who obtained cumulative grade point average
less than 3.5.
Simposium PSM2015/2016
58
SCHRODINGER EQUATION OF ELECTROMAGNETIC WAVE TO PREDICT THE SILICON NANOWIRE GROWTH
Nur Edrina Fazleen binti Mohamed & Prof Madya Dr. Norma Alias
Numerous researches have been focusing their studies on visualizing the
growth of silicon nanowires(SiNWs) through experimental data. In
nanotechnology research, properties of nanowires are highly sensitive to heat
transfer and growth of the temperature. Thus an experimentally challenging
issue is to optimize several parameter identification during nanowire growth.
This research has been proposed to visualize the growth of SiNWs. Some
independent and dependent parameters impact of the SiNWs growth will be
classified. Au has been used as catalyst material in predicting the growth of
SiNWs. Based on the experimental data obtained, the length of SiNWs has been
fixed as a constant parameter which is while diameter investigation is
between and . In this study, we will observe and predict the growth
by visualizing the SiNWs through one-dimensional partial differential equation
(PDE) model of Schrodinger equation. For understanding the PDE model, some
concepts of discretization of finite difference method (FDM) and simulation of
sequential algorithm based on different iterative schemes; Jacobi and Gauss-
Seidel are used. These methods are implemented using Matlab version R2011a.
The validation of experimental results and numerical performance will be
analyzed in terms of tolerance, run time, iteration number and root-mean-square
error (RMSE). Graph visualization, table form comparison results are the
indicators to validate and verify the experimental data, PDE model and
numerical analysis for obtaining an alternative method of the SiNWs growth.
Simposium PSM2015/2016
59
The Analytical Solution to the Laplace Equation of a Gas Flow in Stored
Grain
Nur Farah Natasha Binti Ahmad Tamizi & Dr. Zaiton Mat Isa
In grain industry, the existence of insects leads to the contamination of the
grain. To reduce these problems, phosphine gas is introduced to the stored grain
during a process known as fumigation. This thesis studies the gas flow in
cylindrical stored grain during that process. The thesis begins by developing
mathematical model based on the Darcy’s flow in porous medium which at the
later produce the Laplace Equation. The Laplace equation is then solved for
pressure and velocity of the gas. Based on both gas pressure and velocity
equations, the gas distribution are analyse and presented on contour plot based
on its height and radius by using Matlab software. The finding shows that the
gas distribution is high at the inlet. However, as it moves towards the wall of the
stored grain, the distribution of gas drops dramatically. In addition, the gas
moves towards the atmospheric pressure as the height of the stored grain
increase. For gas velocity distribution, the graph indicates the sinusoidal rate as
the height of the silo increases. This trend is due to the relationship of Darcy’s
flow equation. Furthermore, over the radius of silo, the graphs show that the gas
velocity is decreasing. The insects’ growths are more likely to occur in areas
with less or no dispersion of gas fumigant. Therefore, the area close to wall is at
high risk of having alive insects.
Simposium PSM2015/2016
60
A Numerical Treatment of an Exothermic Reaction Model with Constant
Heat Source in a Porous Medium
Nur Farahain Binti Mohamad & Tn Hj Hamisan Bin Rahmat
Fluid behaviour simulation in the underground needs the flow patterns
and concentration profiles. In this situation, exothermic reaction models in
porous medium can be described that requirement. The model is focused on the
driving force problem which due to the temperature and concentration gradients
at the system boundaries. The numerical computation of conduction solutions is
presented in this research. The governing equation is the steady-state energy
balance equation of the temperature profile in conduction state with constant
heat source. Finite difference and shooting methods is proposed to solve the
equation. Result indicated that finite difference method is better than shooting
method to solve this problem.
Simposium PSM2015/2016
61
Parallel Boundary Element Method for Solving 2D Poisson’s Equation
Nur Farahin Binti Abd Razak & Dr. Yeak Su Hoe
The solution of Poisson’s equation is a fundamental for many problems
of engineering and science studies. Boundary Element Method is widely used
for solving boundary value problems as it is a semi-analytical method and thus
provides a more accurate solution. In this study, the solution of two-dimensional
Poisson’s equation is presented using the Boundary Element Method via the
formulations of the Boundary Integral equations. The domain integral that
appears in the Boundary Element Method is solved numerically using Gaussian
quadrature. Fortran programming code is developed for the problem discussed
and is further parallelized. As far concerns, a huge dimension of linear system
will increase the computational time and thus, the parallel algorithm is carried
out to reduce the computational time as well as to increase the speedup time.
The resultsin the serial Boundary Element Method are validated with the exact
solution as well as the parallel Boundary Element Method. Numerical
computations show the speedup in parallel Boundary Element Method. It is
recommended that fast multipole method will be incorporated in parallel
Boundary Element Method in the future.
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62
Runge-Kutta Method
NurFathiah bt Mohd Sakiam & PM Dr Munira Bt Ismail
The mathematical modelling of many problems in fields of engineering and
science gives rise to initial value problem (IVP). However, the exact or
analytical solution are limited. Thus, a numerical method is needed to obtain an
approximate solution. Among the available numerical methods for solving IVP
is the popular Runge-Kutta (RK) methods. Hence, this researchis on the explicit
RK methods showing the derivation of the second and fourth-order classical
methods. The stability region of the methods and error estimates are described.
Here, the RK methods for the numerical comparison are fourth-order classical
method, Merson’s method, Scraton’s method and England’s method to
illustrates the accuracy of between these methods. MATLAB programming is
used to compute the solution.
Simposium PSM2015/2016
63
Investigation of Daily Rainfall Data to Identify Trends in Rainfall Amount
and Rainfall-Induced Agricultural Events in Kedah, Malaysia
Nur Ibrahima Binti Shamsuri & En. Muhammad Fauzee Hamdan
The purpose of this study is to investigate the daily rainfall data in
identifying trends for agricultural events in Kedah, Malaysia. Rainfall
distribution throughout Peninsular Malaysia varies from one region to another,
depending upon the direction of the moisture-bearing winds and the location of
the mountain systems. The daily rainfall data obtained from five rain gaugesin
different stations which are Kroh, Pendang, Sik, AlorSetar and
AmpangPeduwithin a 33 years period (January 1975 - December 2007). The
methods usedare Excel, SPSS, Minitab and Mann-Kendall Test to identify the
trends of rainfall for annually and monthly. Besides, the methods used are to
findall the sum, the mean, the average covered daily, monthly and annually also
to determine on how the rainfall deviation (mm) from long term in each
stations. At the end of the study, Mann-Kendall test shown that for overall
annually rainfall amounts at all five stations seems not enough evidence to
determine there have upward and downward trend. Instead of that,Sik and
AmpangPedu have shown the same results that there have upward trend for the
average number of annual rainy daysand downward trend for the average
number of annual non-rainy days. Besides, the trends are clearly shown that
there is enough evidence to determine that there is an upward trend at all five
stations for overall monthly rainfall amounts. In addition, all five stations seem
to have upward trend for the average number of monthly rainy days and
downward trend for the average number of monthly non-rainy days. Thus, the
results for this study may be useful for farmers and stakeholders for the next
few years that contribute to a better assessment of crop that suited to agriculture
in Kedah.
Simposium PSM2015/2016
64
Solving Second Order Initial Value Problem (IVP) Using Picard Iteration
Method and Fourth Order Runge--Kutta Method
Nur Rabiatuladawiyah binti Zulkepli & Dr. Shazirawati bt Mohd Puzi
Initial Value Problem (IVP) is an ordinary differential equation together
with a specified value, called the initial condition, of the unknown function at a
given point in the domain of the solution. In real applications, the solution to the
IVP is not easy to be analytically determined. Therefore, the purpose of this
research is to present the numerical solution to the second order IVP. There are
two methods discussed in this study, which is Picard Iteration method and
Fourth Order Runge-Kutta method. Manual calculations are conducted to obtain
the solutions, and hence are compared and discussed for their strength and
weaknesses.
Simposium PSM2015/2016
65
SOLVE THE INVENTORY ROUTING PROBLEM BY GENETIC
ALGORITHM
Nur Suhaila Binti Adam & Dr. Nur Arina Bazilah Binti Aziz
Inventory routing problem considerwhen inventory control and the
problem of route is occurring simultaneously. In this study, one-to-many
distributionnetwork that consisting depot, and an assembly plant to transport the
goods into the geographically dispersed retailer to fulfill the demand in each
period is focused.The un-split delivery problem is addressed. The retailer
isarranging in order by the double sweep algorithm to get the initial routes.
Thegenetic algorithm is proposedespecially to solve the large data with three-
differences number of generation and need to run five times. The purpose of the
method is to examinethe convergence of genetic algorithm in finding the total
objective for inventory routing problem. The computational resultis used to
solve both of the method.
Simposium PSM2015/2016
66
Numerical Solution of One-Dimensional Signalling Transduction in the
Invadopodia Formation
Nurfarahida Azwani Bt Mohd Fazllah & Dr Mohd Ariff Bin Admon
Invadopodia are sub-cellular structure found in invasive cancer cells that were
uniquely formed on the membrane of metastatic cells. Formation of invadopodia
involves the coordination of several cell biological processes. The binding of
ligand and epidermal growth factor receptor (EGFR) activates the signalling
transduction for actin branching and matrix metalloproteinases (MMPs)
regulation. In this study, we considered mathematical modelling for one-
dimensional Stefan-like problem of the signal process in an individual’s cancer
cell invasion. A model that trails the free boundary behaviour is investigated by
using fixed domain method (FDM). FDM introduces a variable transform in
order to fix the computational free space domain, to the new fixed
space domain, . This transformation locates a moving front, on a
given mesh point at the boundary-end, where is the transformation
space variable for domain . Our results for Stefan problem showed a good
agreement with the exact solution and the previous results obtained by Caldwell
and Kwan, 2004. Hence, we simulated the Stefan-like problem for the free
boundary positions and the signal distributions.
Simposium PSM2015/2016
67
The Multiplicative Degree Of All NonabelianMetabelian Groups Of Order
Less Than 24 Except 16
Nurfarhani binti Mustafa & Dr. Nor Muhainiah binti Mohd Ali
A group G is metabelian if there exists a normal subgroup 𝐴𝐴 in 𝐺𝐺 such
that both Aand the factor group, 𝐺𝐺/𝐴𝐴 are abelian. Equivalently, G is metabelian
if and only if the commutator subgroupis abelian. Meanwhile, the
commutativity degree of a group G is the probability that two randomly selected
elements of the group commute. The concept of commutativity degree is
extended to the multiplicative degree where it is defined as the probability that
the product of a pair of elements x and y chosen randomly from a group G, is in
a subgroup Hof G. The main objective of this research is to determine the
multiplicative degree of all nonabelianmetabelian groups of order less than 24
except 16.
Simposium PSM2015/2016
68
Numerical Approaches in Solving Nonlinear Pendulum
Nurhanisa bt Ahmad Fadzil &PM Dr Munira Bt Ismail
Real life problems can be illustrated by mathematical modelling in order to
solve the problem arise. As there are problems involving higher order initial
value problem which may be more difficult to be solved exactly, this study has
focused on solving a nonlinear second order initial value problem by numerical
approaches where it is applied to pendulum. Here, the higher order initial value
problem will be reduced to a system of first order initial value problem. Then,
two numerical methods are used to solve the system and they are trapezoid rule
and Runge-Kutta method of order three. Results are compared illustrating that
the Runge-Kutta method provides better accuracy.
Simposium PSM2015/2016
69
The Probability That An Element of Metabelian Groups of Order 12 Fixes
A Set and Its Generalized Conjugacy Class Graph
Nurhidayah binti Zaid & Prof. Dr. Nor Haniza Sarmin
The probability that two random elements in a group commute is called the
commutativity degree. In 1973, a method to compute the commutativity degree
by using the number of conjugacy classes is introduced. In this research, an
extension of the commutativity degree, namely the probability that an element
of a group fixes a setΩ, is determined. The groups that have been considered are
nonabelianmetabelian groups of order 12, which are the dihedral group D6,the
alternating group and the semidirect group, .The set Ω
considered in this research is the set of pairs of all commuting elements of the
group of size two that is in the form of (x,y), where lcm (|x|, |y|) = 2. In this
research, the probability that an element of the nonabelianmetabeliangroups of
order 12 fixes the set Ω is computed under the conjugation action. In the second
part of the research, the results are then applied into graph theory, namely the
generalized conjugacy class graph. Some properties of the graphs which are the
chromatic number, the independent number, the clique and the dominating
number are also found for each graph.
Simposium PSM2015/2016
70
Finding Global Minimization using Tunneling Method
Nurrul Wahida binti Mohd Mustafa & PM. Dr Rohanin Ahmad
The purpose of this research is to finds point with the lowest functions
values which are called global minimizers. Many researchers have developed
methods to solve optimization problem to find the best value in order to
optimize cost and profit. This type of problem appears in many fields including
business, transportation, finances, telecommunications and also in engineering.
Tunneling Method together with Newton Method were chosen in this study to
find the global minimizer. This research considers the performance of the
classical tunneling function with different values of pole strength and initial
points. The developed Tunneling Algorithms was coded in MATLAB for
classical tunneling function. Three test functions were used, and the results
obtained was compared and analyzed.
Simposium PSM2015/2016
71
LINEAR PROGRAMMING AND GENETIC ALGORITHM APPROACH
FOR PERSONNEL ASSIGNMENT MODELLED AS
TRANSPORTATION PROBLEM
Nurul Ain binti Alzafry Mohamed Alnassif & Dr. Zaitul Marlizawati binti
Zainuddin
Personnel assignment is an important problem in industry. In this study, the
assignments of Takaful Specialists to jobs that will minimize the total distance
travelled are to be determined. This personnel assignment problem is modelled
as Transportation Problem since each personnel can be assigned to more than
one jobs. Linear Programming (LP) and Genetic Algorithm (GA) are two
approaches considered in this work for solving the resulting transportation
problem. In the Linear Programming approach, LINGO and Excel are used in
solving the LP model to obtain the exact solution. Genetic Algorithmis taken as
another alternative solution approach in this study since it is proven to be very
successful for NP-hard optimization problems.Sensitivity analysis is carried out
to observe the changes in the optimal solution given changes in the maximum
number of job assigned to the specialists. From this study, we found that
Genetic Algorithm can generate a near optimal solution and the performance
can be improved by improving the parameters used.
Simposium PSM2015/2016
72
Traveling Salesman Approach for Solving Visiting Route by Using
Simulated Annealing
Nurul Ain bt Norazmi & En. Wan Rohaizad bin Wan Ibarahim
This research presents an attempt to solve a student’s problem in the University
to travel in seven states in Malaysia, which is Johor, Melaka, Negeri Sembilan,
Selangor, Wilayah Persekutuan, Pahang and Terengganu. This traveling system
is formulated as a Traveling Salesman Problem (TSP). TSP involves finding an
optimal route for visiting areas and returning to point of origin, where the inter-
area distance is symmetric and known. This real world application is a deceptive
simple combinatorial problem and our approach is to develop solutions based on
the idea of local search and meta-heuristic. As a standard problem, we have
chosen a solution which is deceptively simple combinatorial problem and we
defined it simply as the time spends or distance travelled by salesman visiting n
cities (or nodes) cyclically. In one tour the students visits each area just once
and finishes up where he started. As standard problems, we have chosen TSP
with different areas visited once. This research presents the development of
solution engine based on local search method known as Simulated Annealing as
the initial solution and further use to improve the search and provide the best
solution. A user friendly optimization program developed using Microsoft C++
to solve the TSP and provide solutions to future TSP which may be classified
into daily or advanced management and engineering problems.
Simposium PSM2015/2016
73
A Method Of Calculation Of Eigenvalues Of Some Class Integral
Operators
Nurul Atiqah bt Talib & Assoc Prof Dr Mukhiddin Muminov
This research are generally about the eigenvalue problem of the one
dimensional Fredhlom integral operators with some kernels, where thekernel
depends on the difference of variables. Within this research, we construct the
mathematical model with calculation of non-zero eigenvalues and
corresponding eigenfunctions. We alsogive a several examples of
Fredhlomintegraloperatorswith degenerate kernel and find its nonzero
eigenvalues and corresponding eigenfunctions. To solve an eigenvalue problem
for general case, firstly, we present the given kernel in the series form and solve
corresponding eigenvalue problem. By applying the obtained results, we solve
an eigenvalue problem of the integral operator with Neumann kernel, appearing
in the boundary value problems and Reimann-Hillbert problems with circular
region. Using obtained model, we construct an algorithm of calculation of
nonzero eigenvalues and eigenfunctions of considering operator. We construct a
programming for solving the eigenvalues of Fredhlomintegraloperators and
other several examples in Maple 12 software.
Simposium PSM2015/2016
74
Trend Analysis of Streamflow in Johor using The Mann-Kendall Test and
Theil-Sen Estimator
Nurul Fatin bt Ab. Azid & Dr. Norazlina bt Ismail
Streamflow is one of the factors that contributed in the study of water resource
management, droughts and floods. This studyis mainly about the using of the
long-term streamflow data to identify its trends to see whether it is significant
upward or downward streamflow. The streamflow data of the selected four river
station in Johor areSg Johor, SgKahang, SgSayong and SgLenggor. The
collected data were taken from the Department of Irrigation and Drainage
records. Trends and slopes are tested for significance using the Mann-Kendall
trend test and Theil-Sen estimator respectively. The data used for trend analysis
are the average annual streamflow and the average monthly streamflow. The
results obtained portray that all of the stations show a significant downward
streamflow throughout the years with p-value less than 0.05 for both annual and
monthly trends. The regional hydrological studies and water management could
use this valuable information of this distribution pattern for further research.
Simposium PSM2015/2016
75
Fourier Transform and its Application
Nurul Huda bt Muhd Yusof & En Che Lokman bin Jaafar
Fourier transform is an extension from a Fourier series since Fourier series is
limited to periodic function only but Fourier transform can be used for a larger
class of function not only periodic function. This research investigates the
conceptual of this transform, its properties and application. Precise definition of
Fourier transform is important for clear understanding. Derivations of Fourier
transform from Fourier integral using even and odd function and complex
exponential also discussed. The objectives of this study to carry out analysis of
Fourier transform properties in solving problem. Fourier transforms properties
such aslinearity, scaling, shifting, time-differentiation, convolution, modulation
and translation were studied and proved. Examples were also given to clarify
the properties. We also include the relationship between Fourier transform and
Laplace transform. Several examples are included for more understanding in
solving problem.This project exposes the application towardsengineering with
focus in filtering.
Simposium PSM2015/2016
76
Z-Transform and Its Application
Nurul Izzati binti Ghazali & En. Che Lokman bin Jaafar
Z-transform is one of the discrete-time transforms and is a transformation that
maps discrete time signal into a function of the complex variable z. This study
investigates the conceptual development of this transform, the properties and
applications of the transform. To understand this method, it is crucial to have a
clear understanding on the definition of Z-transform. The objectives of this
study are to understand the definition of z-transform, derive and prove the
properties and identify some of the application. Several properties are included
such as linearity, shifting and convolution for the ease of problem solving.
Inverse of z-transform have been derived from definition through several
mathematical operations. Besides, z-transform shows relationship with Laplace
transform and Fourier transform. The application of solving difference equation
by using z-transform is also discussed. Some examples are also included to
support understanding. This study also included the application of z-transform
to the analysis of Linear-Time Invariant (LTI) systems.
Simposium PSM2015/2016
77
List Scheduling Algorithms for Solving Identical Parallel Processor in
Minimizing Makespan
Nurul Izzati binti Muhammad & Dr. Syarifah Zyurina bt Nordin
This study focuses on the task scheduling problem on identical parallel
processors. We consider a non-preemptive task scheduling with an objective
function of minimizing the makespan. Makespan is the maximum of completion
time to entire set of tasks where The standard
assumptions of the task characteristic of this study are no delay schedule and no
precedence constraints are required. Moreover, all tasks are ready at time zero
and no due date or deadlines is specified. An arbitrary processing time of
mathematical model of Mixed Integer Linear Programming (MILP) is
considered to obtain the exact solution. We address three List Scheduling
Algorithm, which are Shortest Processing Time, Longest Processing Time, and
First Come First Served. The MILP model has been implemented using
AIMMS 4.13 software package which uses CPLEX 12.6.2as the solver for
minimizing the makespan. The MILP gives the optimum result for each
instance. The heuristic methods have been implemented using Microsoft Visual
Studio 2010 Ultimate C++ programming. A computational experiment is
conducted to examine the effectiveness of the different size problem. The
computational results show that all the proposed heuristics obtain good result
with the gap between optimal solutions are less than 20% even for a large data
set. Longest Processing Time (LPT) is the best List Scheduling heuristic method
with gap less than 2%.
Simposium PSM2015/2016
78
Statistical and Trend Analysis of Rainfall Data in Johor
Nurul Syazwani Binti Mohammad & Dr. Norazlina Binti Ismail
Due to climate change, the pattern and trend of rainfall in Malaysia are affected.
This study conducted to establish the rainfall trends of four rain gauge stations
that represented different districts in Johor which are Mersing, Johor Bahru,
Labis and Air Hitam. The monthly and annual rainfall data from 2005 to 2015
was obtained from Department of Irrigation and Drainage Malaysia. Graphs
were constructed to show the changing trends within the months and years of
the districts. Statistical analysis such as Minitab and Excel was performed to
assess any significant difference among all stations within monthly and
annually. Linear regression model was used to obtain the trend slope. The
Mann-Kendall Test was used for the rainfall trend analysis in order to determine
whether or not there have been any significant change in rainfall and discharge
over this catchment. Descriptive statistics of the monthly rainfall amount for
each rain gauge stations are summarized where the mean, standard deviation,
range, minimum, maximum and coefficient of variation of rainfall were
obtained.
Simposium PSM2015/2016
79
Numerical Simulation of Parametric Model of Magneto-Rheological Fluid
Damper
Nurziyana binti Hairudin & Prof Dr Zainal Abdul Aziz
The car’s suspension system can be considered as the most important part in
order to give the driver’s and passengers’ comfort, safe, and stable journey.
Recent study has found new substance in the form ofMagneto-Rheological fluid
(MR fluid)that can be added in the damper that will facilitate its effectiveness.
Consequently a parametric model of equation of motion such as Bingham model
has to be developed. In order to obtain an effective suspension system based on
this model, all the relevant parameters involved must be taken into account.
Making a prototype model by trial and error basis is time and money
consuming. Therefore, one needs to simulate in deciding and reducing the
constant range of certain parameters in the system. This will contribute to a
better system of damper which resulted inthe use of optimal time and cost. A
numerical approach can be utilized to solve the differential equation that is
derived from a quarter car model. Finite difference method is used in this study
and this gave a linear system that can besolved simultaneously. The results are
then discussed as the car manufacturer needs to identify the best value of every
parameter. The study shows thatthe values of the frictional force and damping
coefficient would affect the performance of the car’s suspension system.
Simposium PSM2015/2016
80
Hankel Transform and Its Application in Solving Partial Differential
Equations
Nuurul Afiqah Binti Jasni & PM. Dr. Yudariah Bt Mohammad Yusof
There are many methods that can be used to solve the problem of partial
differential equationsand one of the method is by using the Hankel transform. In
this research we introduce the basic concept and properties of Hankel transform.
It was found that the Hankel transform is the best tool to solve the partial
differential equations in cylindrical polar coordinate.This is followed by the
introduction of the two-dimensionalwave equation model in cylindrical polar
coordinate and its technique of solving using Hankel transform. Finally, we
apply the method on several axisymmetric partial differential equations.
Simposium PSM2015/2016
81
Modeling of The Performance of Students in SijilPelajaran Malaysia
(SPM) Using Adaptive Neuro-Fuzzy Inference System ( ANFIS)
Siti Haszriena Binti Taman & Dr Khairil Anuar Bin Arshad
Bahasa Melayu and History are compulsory subjects in Sijil Pelajaran
Malaysia ( SPM ). All SPM candidates have to pass these two subjects in order
to get the certification. The performance of these two subjects is reflected in the
School Average Grade ( GPS ) for each subjects. Although many factors
affecting the GPS, we are interested in finding the performance based on one
factor only, namely the number of teachers needed to teach the subject. For this
study, we have used SPM result of the year 2014 for several districts in Johor.
Adaptive Neuro-Fuzzy Inference System ( ANFIS ) was employed in the study
utilizing two types of membership functions, Triangle and Generalized Bell.
The performance of ANFIS based on each membership functions was compared
with the actual result. MATLAB software was used to assist in the computation.
It was found that ANFIS with Generalized Bell membership function gives
better prediction of GPS based on RMSE and MAE.
Simposium PSM2015/2016
82
An Improvement Heuristic Algorithms for Distance-Constrained
Capacitated Vehicle Routing Problem
Siti Noor Atiqah Binti Rasit & Dr Farhana Binti Johar
The vehicle routing problem (VRP) under distance and capacity constraints
involves the design of a set of delivery routes which originate and terminate at a
central depot after satisfying the customer demands. Each customer must be
served exactly once and by one vehicle, where vehicle capacity and distance
limit become the constraints of the problem. In this study of Distance-
Constrained Capacitated Vehicle Routing Problem (DCVRP), an improvement
heuristic algorithm attempts to upgrade any feasible solution by performing a
sequence of edge or vertex exchanges within or between vehicle routes. The
method focuses on swapping the initial routes by exchange the selected
customer from the route to another route which will give the smallest increment
of length without violating the distance and capacity constraints in order to
identify the best improvement in solution. C++ numerical programming is used
to code the proposed algorithm in order to solve DCVRP which involves large
groups of data. Three categories of data which are cluster, random and random
cluster data are being analyzed by considering different values of distance and
capacity constraints. By utilizing the improvement heuristic method, the
number of routes participated and the total distance travelled by the vehicles can
be obtained. The computational results indicate that the proposed heuristic is
able to generate the better solution. Further research should be done to improve
the initial solution for DCVRP by using metaheuristics methods such as
simulated annealing, tabu search and genetic algorithms.
Simposium PSM2015/2016
83
Solving The Fractional Transportation Problem Using Transportation
Algorithm And Fractional Linear Programming Method
Siti Nor Fazila Binti Mohamad & Dr Rashidah Binti Ahmad
A transportation problem basically deals with the problem, which aims
to find the best way to fulfil the demand of n demand points using the capacities
of m supply points. Each unit transported from a supply point to a demand point
incurs a variable cost. In this study, it deals with the transportation problem of
minimizing the ratio of two linear functions subject to a set of linear equations
and non-negativity conditions on the variables. Three methods North West
Corner Method (NWCM), Least Cost Method (LCM) and Vogel’s
Approximation Method (VAM) have been used to find initial basic feasible
solutions for thefractional transportation model. The Modified Vogel’s
Approximation Method (MVAM)is then applied to the same transportation
model to find itsinitial basic feasible solution and compared its result with
above three methods. MVAM gives a better result compared to the other three
methods. An improved Modified Distribution (MODI) method is then applied to
the initial solution from MVAM to find optimal solution. Also, the fractional
transportation problem is then modelled as linear fractional transportation
problem of Charnes& Cooper method which is then then solved using the excel
solver. Both methods give the same optimal solution for fractional
transportation problem.
Simposium PSM2015/2016
84
Blood Flow in Microcirculation Network
Siti Nor Rasyidah binti Hassan & Dr Wan Rukaida binti Wan Abdullah
This project addresses blood flow in the systemic microcirculation, which is
formed bynetworks of small capillaries having diameters comparable in size to
the blood cells passing through them. We solve sets of coupled nonlinear partial
differential equations to describe unsteady blood flow in the arcade network.
The model incorporates empirical descriptions of blood rheology in capillaries,
particularly the Fahraeus effect, the Fahraeus-Lindqvist effect and the phase-
separation effect. The coupled advection-diffusion equations are solved using
finite-difference-based numerical methods and demonstrate the long-lived
transient response of the flow through the network to inlet perturbations.
Simposium PSM2015/2016
85
Lotka–Volterra Equations as Complex Mapping
Siti Norhidayah binti Mohd Nor & Dr. Niki Anis bin Ab Karim
Predation describes a biological interaction where predators hunt and
feed on prey. Predation can be modelled with a dynamical system that contains
two first–order differential equations. This system is known as the Lotka–
Volterra equations. In this research, the main interest is to analyze the behaviour
of the dynamical system and show the outcomes when Lotka–Volterra
equations are rendered as a complex–plane mapping. This is done by visually
characterizing mapped curves based on the dynamical system’s parameters. A
complex mapping based on the Lotka–Volterra equations was derived,
representing the rate of change for predator/prey populations when where
original population curve is in the form of circles of various radii. In order to
observe and characterize the geometry of curves mapped from complex-plane
curves via Lotka–Volterra equations, they were rendered using suitable software
with varying parameters specified in the dynamical system. Varying values of
single parameters, with other parameters normalized, in the dynamical system
are then used to map the same set of circular population curves, and the
resulting curves are rendered and characterized. Then, interactions of variation
between two parameters in the system and the resulting curves are explored and
characterized as well. Components from many mathematical disciplines have
been applied for this research, forming a connection between complex variables
and dynamical systems by implementation of the Lotka–Volterra equations as a
complex mapping. Other variations of the dynamical system such as Lotka–
Volterra equations for multiple species may be open for similar study.
Simposium PSM2015/2016
86
Statistical Analysis on Effectiveness of 21st
Siti Rohaida binti Kamarudin & Dr. Zarina binti Mohd Khalid
Century Learning at Secondary
Schools in Muar Area for Mathematics Subject Using SPSS
Conventionally, teaching method in secondary schools has been teacher-
centred. Starting from 2015, Malaysian Ministry of Education has introduced
21st century learning method to be implemented in selected secondary schools.
The main objective of this learning method is to improve students’ academic
performance. The new learning style is interdisciplinary, project-based and
research-driven. The purpose of the present study was to examine the
effectiveness of 21st century learning in improving the performance of
mathematics subject at secondary schools in Muar area. The analysis was done
using a two-way analysis of variance (ANOVA) and was carried out using
Statistical Package for the Social Sciences software (SPSS). We found that there
exists a significant improvement in the mean scores of mathematics subject
across most secondary schools after the 21st century learning method was
implemented. Results also indicated that an interaction is present between
schools and types of learning process. Generally, we may conclude that 21st
century learning is more effective in improving students’ academic
performance, as compared to conventional teaching method, for most of
secondary schools in Muar area.
Simposium PSM2015/2016
87
Second Order Ordinary Differential Equation and Its Application in Force
Vibration
Suzarina binti Ahmed Sukri & Dr. Maslan bin Osman
This report is about second order ordinary differential equation and its
application in force vibration. We start the discussion with the physics terms
that is involve in force vibration such as damping, resonance, beat and others.
Not even that, the vibration equation will be derived through this report where it
yields to two kind of vibration which are free vibration and force vibration.
Both free and force vibration differs from each other where force vibration is
where force is applied to the system. This vibration is governed from Newton’s
Second Law of Motion and also Hooke’s Law. We use undetermined coefficient
methods with some examples shown. The behavior of free and force vibration
equation is studied and we observe the differences between those two. The
behavior of both free and force vibration are shown by the graph that is plot by
using MATLAB software while the value of the graph are obtain by using
Microsoft Excel.
Simposium PSM2015/2016
88
Estimation of Ruin Probability of Heavy-Tailed and Light-Tailed
Distribution for Medical Insurance
Syahirah Bt Saupi & Dr. Arifah Bahar
This study is about the estimation of ruin probability for the medical insurance
claims. Basically, ruin is said to occur if the insurer’s surplus reaches specific
lower bound. Risk of ruin is calculated based on the probability of winning or
making money on a trade, the probability of losses and the individual’s capital
base. Ruin probability in medical insurance will be analysed by using Poison
process. Data on the amount of claims for medical insurance from June 2014
until December 2014 were used for the study. The raw data is sorted into four
types of diseases which are brain diseases, cancer, heart diseases and kidney
related diseases. The tail of distribution is investigated and it is observed that
brain diseases and kidney related diseases have light-tailed distribution while
cancer and heart diseases have heavy-tailed distribution. The insurance claim
distribution based on types of diseases are right-skewed. Next, an appropriate
statistical distribution that best fit the insurance claims data has been
investigated. The estimation of ruin probability is then being calculated by using
risk process.
Simposium PSM2015/2016
89
Forecasting Monthly Gold Price by Using Fuzzy Time Series
Tan Lay Huan & Prof. Dr. Zuhaimy Ismail
Due to the rapidly changing economy, forecasting plays an important
role in our life for predicting the future events. Forecasting is a technique that is
being used widely in many areas especially in economic. There are many
forecasting methods in the literature such as Fuzzy Time Series, Regression and
so on. This research attempts to forecast monthly gold prices using Fuzzy Time
Series (FTS). The data used in this research are the daily gold prices from
January 2010 to December 2011. The analysis is done by using Minitab
software and Microsoft Office Excel. Mean squared error (MSE) and mean
absolute percentage error (MAPE) will be used in this research to measure the
performances of each method. The results generated using FTS for forecasting
gold prices shows that the order 3 is the best model with MAPE at 1.75%.
When comparing with the result using Chen model of order 1, the performance
measure of MAPE is 2.70%. This shows that Chen model of order 3 is a better
model for forecasting monthly gold prices.
Simposium PSM2015/2016
90
ANALYSIS OF BLOOD FLOW THROUGH A CATHETERIZED
STENOSED ARTERY USING MATHEMATICA
Tay Chai Jian & Prof. Dr. Norsarahaida S. Amin
The mathematical model of blood flow through a catheterized stenosed artery is
considered.A catheter is a tube, which is used in medicine for patients who are
bedridden and whose blood pressure needs to be measured and monitored
continuously. Inserting a catheter in an artery is expected to alter some
characteristics of blood flow such as velocity, the wall shear stressand the
streamlines. The present model considers the catheter and the artery to be in an
eccentric position while blood is assumed to be Newtonian.The governing
equations are solved analytically by a perturbation method.The solution
procedure is tedious and complicated. Mistakes can easily occur and difficult to
rectify. A Mathematica-based package is developed to assist in the solution
procedure and analysis of results. Results show that a catheter placed in an
eccentric position causes the axial velocity andwall shear stress to
increase.Also, a trapping bolus which is the formation of an internally
circulating bolus of the fluid by closed streamlines, occurs in the region between
the wall of stenosis and the wall of catheter.
Simposium PSM2015/2016
91
Maximum Clique Problem in Social Network Analysis
Teoh Wei Kee & Prof. Dr. Shaharuddin Saleh
Social network analysis (SNA) is a set of methods to analyse social structures
consisting of vertices and edges. SNA is used to visualize the relationships
within the network then study the factors which influenced these relationships.
The majormotivation of SNA is to give suggestions to improve current situation
in relate to health, crime, sociology, marketing and many more. One of the
central concept of SNA is maximum clique problem (MCP), the largest
complete sub-graph in the network.Therefore, the aim of research is to
determine the maximum clique in today’s fast growing massive networks.Since
the MCP is one of the NP-Hard problem, many efforts has been sacrificed to
contribute various effective solutions for MCP.Basically, there are two kinds of
approaches, exact and heuristic.This research uses greedy algorithm (GA) from
heuristic categories instead of exact method due to its weakness on solving
massive networks. The solution achieved by keep deleting vertex with the least
degree number repeatedly until all the remaining vertices possess the same
degree number. An application is created based on GA by using Microsoft
Visual Studio 2010. This program can used to solve MCP on a massive scale
network graphs and the solution of maximum clique is shown in graphical
output through Visual C++ coding. The algorithm performs successfully when
applied to random generated graphs and testing of program on the benchmark
sets of Second DIMACS Challenge is carried out.
Simposium PSM2015/2016
92
Hierarchical Clustering on United Stated of America Social Society
Wan Muhammad Afiq bin Wan Muhamad Fauzan & PM Dr Robiah
Adnan
Hierarchical clustering is widely used in various fields to solve many problems
and it creates a hierarchy of clusters which may be represented in the form of
tree structure called dendrogram. Algorithms for hierarchical clustering are
either agglomerative, in which one starts at the leaves and successively merges
clusters together or divisive, in which one starts at the root and recursively splits
the cluster. Here, the focus is using single linkage, complete linkage and
average linkage to cluster the United States of America social survey data. Even
though there exist many measuring technique but in this thesis, the focus will
be on the euclidean distance and squared euclidean distance. From the
dendrograms obtained, the clusters obtained using the single linkage, complete
linkage and average linkage are very similar. Thus there are no best hierarchical
method among these three. The variables merged in each method is almost the
same meaning that the dendrogram form are stable. The statistical package
SPSS version 16.0 is used to help in the hierarchical clustering computation.
The method used to define the number of clusters is the akaike information
criterion and bayesion information criterion. The result from this thesis shows
that the number of clusters that can be form are five, one cluster consist of 7
variables while the other four clusters consist one each. The best measuring
technique used are euclidean distance because it produce the best range in
agglomeration schedules.
Simposium PSM2015/2016
93
Vibration of Circular Membranes (Wave Equations)
Wan Nur Faqihah Binti Mohd Zaki & Dr Mukheta Isa
Unlike a string which vibrates in one dimension, circular membranes
vibrate in two-dimension simultaneously. The vibrations of circular membranes
are given by the solution of the two dimensional wave equation. The purpose of
this study is to find the solution of the vibration of circular membranes using the
wave equation. Method of separation of variables and Bessel’s function are used
to solve wave equation and to find the solution of the vibration of circular
membranes. The solution is obtained by using mathematical software,
MATLAB. The solution results are being plotted for various initial conditions at
different time instants. The vibrations of membranes for a number of initial
conditions are presented at different time instants.
Simposium PSM2015/2016
94
Forecasting the Exchange Rateby Using Optimized Discrete Grey Model
Wong Hua Min & Dr Ani Shabri
Exchange rate forecast play a fundamental role in nearly all aspects of
international financial management. It plays an important role in helping to
stabilize the economy of Malaysia and to support the growth of economic in
Malaysia. Optimized discrete grey model (ODGM) were proposed to forecast
the exchange rate between MYR and USD, MYR and JPY, MYR and SGD in
this study. Monthly data of the currency exchange rate from January 2013 to
April 2016 was being used as the original data to calculate the parameter of the
three models and the predictive value are forecast for five months in this study.
All the analysis of the data is done by using Microsoft Excel. The proposed
model is compared with grey model (GM(1,1)) and discrete grey model (DGM)
in order to obtain the best model. The comparison indicates that ODGM model
has the best result and is the most suitable method for forecasting the data used
in this study.
Simposium PSM2015/2016
95
Generated Paths of Fuzzy Autocatalytic Set of Evaporation Process of a
Boiler System
Zainab Mahamud & Prof. Dr. Tahir Ahmad
Graph is a mathematical structure used to model pairwise relations between
object. In this report, graph is used to model anevaporation process of a boiler
system. The evaporation process in the boiler system is a complex system of
interactions between chemical substances. The process is represented as a
dynamic graph by integrating the concept of Autocatalytic Set (ACS). It is then
transformed into an omega algebra whereby all the possible paths of the
evaporation process are determined. Seventeen variables are identified to
represent the nodes with thirty six links to indicate catalytic relations among
these nodes. A programming code of C++ is developed for the identification of
these 2375 links.
Simposium PSM2015/2016
96
Comparison between Box-Jenkins Method and Exponential Smoothing
Method to Forecast Gold Prices
Zulkifli Bin Rambeli & Assoc. Prof. Dr. Ismail Mohamad
Gold is one of the most valuable commodities in the world. It is not only
used to make jewelries but also as electronic connectors, investment and
monetary exchange. Since gold prices are not constant, many statistical models
on forecasting the price of gold have been developed. This study will compare
which model between the Box-Jenkins ARIMA model and the Exponential
Smoothing Model is more suitable. The Box-Jenkins and Exponential
Smoothing Method is used to determine which model fits the data better. The
Box-Jenkins method used was ARIMA with 1 lag differencing. The Exponential
Smoothing model used was Single Exponential Smoothing and Double
Exponential Smoothing Method. Data on the prices of gold were collected
between February 2006 and January 2016 then analysed. For Box-Jenkins
method Minitab Version 15.1.2 was used and Akaike Information Criterion was
used to select the best ARIMA model. Microsoft Office Excelwas used to
forecastusing Exponential Smoothing Method. The Augmented Dickey-Fuller
(ADF)tests were used to confirmstationarity. Stationary testing were done using
time series Excel add-ins, NumXL. Finally, the comparison between these two
methods is made by comparing themean absolute percentage error (MAPE) and
mean absolute deviation (MAD). Results showthat Box-Jenkins outclasses
Exponential Smoothing in forecasting this data.
Simposium PSM2015/2016
97
AHLI JAWATANKUASA PROJEK SARJANA MUDA
JABATAN SAINS MATEMATIK
PENGERUSI :
Tn. Hj. Zakaria Dollah
JAWATANKUASA :
PM Hazimah Abd Hamid
Pn. Halijah Osman
Dr. Zaiton Mat Isa
JAWATANKUASA TEKNIKAL
Pn. Zarina Mohamed
En. Mohd Fauzi Md Arif
En. Zulfauzi Zakaria